GAP Manual: Index
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
'/' for character tables
2-groups
3-groups
4.2BSD
4.3BSD
A
Abbreviating Section Names
AbelianGroup
AbelianGroup!for ag groups
AbelianInvariants for Ag Groups
AbelianInvariants
AbelianInvariants!for ag groups
AbelianInvariants!for character tables
AbelianInvariants!for finitely presented groups
AbelianInvariantsNormalClosureFpGroup
AbelianInvariantsNormalClosureFpGroupRrs
AbelianInvariantsSubgroupFpGroup
AbelianInvariantsSubgroupFpGroupMtc
AbelianInvariantsSubgroupFpGroupRrs
About Character Tables
About Constants and Operators
About Conventions
About Defining New Domains
About Defining New Group Elements
About Defining New Parametrized Domains
About Domains and Categories
About Fields
About Finitely Presented Groups and Presentations
About First Steps
About Functions
About Further List Operations
About GAP
About Group Libraries
About Groups
About Help
About Identical Lists
About Lists
About Loops
About Mappings and Homomorphisms
About Matrix Groups
About Operations of Groups
About Ranges
About Records
About Sets
About Starting and Leaving GAP
About Syntax Errors
About the Implementation of Domains
About Variables and Assignments
About Vectors and Matrices
About Writing Functions
AbsInt
absolute value of an integer
AbstractGenerator
AbstractGenerators
Accessing Record Elements
accessing!list elements
accessing!record elements
Add
add!an element to a list
add!an element to a set
AddBase
AddBase!for vector space
AddEdgeOrbit
add!elements to a list
AddGenerator
AddRelator
AddSet
add!the elements of a list
Adjacency
Advanced Methods for Dixon Schneider Calculations
AffineOperation
Ag Group Functions for Special Ag Groups
Ag Group Functions
Ag Group Operations
Ag Group Records
Ag Groups
Ag Word Comparisons
Ag Words
Agemo
Agemo!for character tables
AgGroup
AgGroup!for Permutation Groups
AgGroupFpGroup
AgGroupQClass
AgNormalizedAutomorphisms
AgNormalizedOuterAutomorphisms
AgOrbitStabilizer
AgSubgroup
Algebra Elements
Algebra for MeatAxe Matrices
Algebra Functions for Algebras
Algebra Functions for Matrix Algebras
Algebra Homomorphisms
Algebra Records
Algebra
Algebraic Extension Elements
Algebraic Extension Records
Algebraic extensions of fields
Algebraic extensions of the Rationals
AlgebraicExtension
Algebras and Unital Algebras
Algebras
AllIrreducibleSolvableGroups
AllPrimitiveGroups
AllSolvableGroups
AllThreeGroups
AllTransitiveGroups
AllTwoGroups
Alpha
AlternatingGroup
An Example of a Computation in a Domain
An Example of Advanced Dixon Schneider Calculations
An example
and
AntiSymmetricParts
ANU pq Package
ANU Pq
ANU Sq Package
Append
append!elements to a list
append!one string to another
append!to a file
AppendTo
Arrangements
AsAlgebra
AsGroup for Ag Groups
AsGroup
AsGroup!for ag groups
AsModule
Assignments
assignment!to a list
assignment!to a record
assignment!variable
AssignVertexNames
AssociatedPartition
Associates
Associates!for gaussians
associativity
AsSpace for Modules
AsSpace
AsSubalgebra
AsSubgroup
AsSubmodule
AsSubspace
AsUnitalAlgebra
AsUnitalSubalgebra
Atari ST
ATLAS irrationalities
ATLAS Tables
atomic irrationalities
augmented coset table
augmented coset table
AutGroupGraph
automorphism group!of a character table
automorphism group!of a field
automorphism group!of a matrix
automorphism group!of an extension field
automorphism group!of number fields
AutomorphismGroupElements
Automorphisms of p-groups
Automorphisms
Automorphisms!for character tables
automorphisms!of p groups
B
backslash
Base for MeatAxe Modules
Base for Permutation Groups
Base
BaseMat
base!of a number field
Base!of vector space
base!of vector space
Bases for Matrix Algebras
Basis
Bell
BergerCondition
Bernoulli
Bicomponents
Binomial
BipartiteDouble
blank
blist
BlistList
Blocks
Blocks!for Permutation Groups
BlockSystemFlag
b_N
BNF
body
Boolean Lists
Booleans
bound
Brauer Table Records
Brauer tables!format
BrauerCharacterValue
BrauerTableOps
Break Loops
Browsing through the Sections
Bruhat
BSD
C
CallVE
candidates!for permutation characters
candidates!for permutation characters
CanonicalAgWord
CanonicalBasis
Carmichaels lambda function
Cartan matrices
Cartan matrices!direct sum of
CartanMat
Cartesian product
Cartesian
CAS Tables
CAS tables,CAS format,CAS
CentralCompositionSeriesPPermGroup
Centralizer
Centralizer!for ag groups
Centralizer!for matrix groups
Centralizer!for Permutation Groups
CentralWeight
Centre for class functions
Centre
Centre!for character tables
CF
Cgs
ChangeCollector
Changing Presentations
Character Table Libraries
Character Table Records
character table!display
character tables
Character Tables
character tables
character tables!access to
character tables!ATLAS
character tables!calculate
character tables!CAS
character tables!CAS
character tables!computation
character tables!conventions
character tables!format
character tables!generic
character tables!generic
character tables!generic
character tables!libraries of
character tables!of groups
character tables!sort
character tables!sort
character tables!sort
Character
CharacterDegrees!for character tables
characteristic polynom!of a field element
characteristic!of a finite field element
CharacteristicPolynomial for MeatAxe matrices
character!permutation
Characters of Finite Polycyclic Groups
Characters
characters!induce from cyclic subgroups
characters!induced
characters!inflated
characters!irreducible differences of
characters!permutation
characters!permutation
characters!reduced
characters!reduced
characters!restricted
characters!scalar product of
characters!scalar product of
characters!sort
characters!symmetrisations of
characters!symmetrisations of
characters!symmetrisations of
characters!symmetrisations of
characters!tensor products of
CharDegAgGroup
CharFFE
CharHeckeRepresentation
CharPol
CharTable
CharTableCollapsedClasses
CharTableDirectProduct
CharTableFactorGroup
CharTableIsoclinic
CharTableNormalSubgroup
CharTableOps
CharTablePGroup
CharTableQClass
CharTableRegular
CharTableSpecialized
CharTableSplitClasses
CharTableSSGroup
CharTableWreathSymmetric
CheckFixedPoints
CheckHeckeDefiningRelations
CheckPermChar
chinese remainder
ChineseRem
ChooseRandomElements
ChopGMod
Class Function Records
Class Functions
class functions
class multiplication coefficient
class multiplication coefficient
class multiplication coefficient
class names
classes!collapse
ClassesNormalSubgroup
classes!of cyclic subgroup
classes!real
classes!roots of
ClassFunction
ClassMultCoeffCharTable
ClassNamesCharTable
ClassNamesTom
ClassOrbitCharTable
ClassRootsCharTable
ClassStructureCharTable
ClassTypesTom
clone!an object
clone!an object
Closure
c_N
coefficient!binomial
Coefficients for Number Fields
Coefficients for Row Space Bases
Coefficients
coefficients!for cyclotomics
Coefficients!in vector space
CoeffsCyc
CollapsedAdjacencyMat
CollapsedCompleteOrbitsGraph
CollapsedIndependentOrbitsGraph
CollapsedMat
Collected
CollectorlessFactorGroup
Combinations
Combinatorics
CombinatoricSplit
comments
Comm!for group elements
Comm!for words
CommutativeDiagram
CommutatorFactorGroup
CommutatorFactorGroup!for finitely presented groups
CommutatorSubgroup for Ag Groups
CommutatorSubgroup
CommutatorSubgroup!for ag groups
comparison!of double cosets
comparison!of right cosets
Comparisons of Booleans
Comparisons of Cyclotomics
Comparisons of Domains
Comparisons of Field Elements
Comparisons of Finite Field Elements
Comparisons of Gaussians
Comparisons of Group Elements
Comparisons of Integers
Comparisons of Lists
Comparisons of Mappings
Comparisons of Permutations
Comparisons of Polynomials
Comparisons of Rationals
Comparisons of Records
Comparisons of Ring Elements
Comparisons of Strings
Comparisons of Unknowns
Comparisons of Words
Comparisons
comparisons!of booleans
comparisons!of finite field elements
comparisons!of integers
comparisons!of lists
comparisons!of polynomials
comparisons!of rationals
comparisons!of strings
Complement
Complementclasses
ComplementConjugatingAgWord
ComplementGraph
Complements
CompleteGraph
CompleteSubgraphs
CompleteSubgraphsOfGivenSize
Components of a G-module record
CompositionFactors for MeatAxe Modules
CompositionLength
CompositionMapping
CompositionMapping!for Frobenius automorphisms
CompositionMapping!for GroupHomomorphismByImages for permutation groups
CompositionMapping!for GroupHomomorphismByImages
CompositionMaps
CompositionSeries
CompositionSeries!for Permutation Groups
CompositionSubgroup
Concatenation
concatenation!of lists
concatenation!of strings
ConcatenationString
conductor
Congruences
Conjugacy Class Records
Conjugacy Classes
ConjugacyClass
ConjugacyClasses
ConjugacyClasses!for ag groups
ConjugacyClasses!for matrix groups
ConjugacyClassesMaximalSubgroups
ConjugacyClassesSubgroups
ConjugacyClassSubgroups
Conjugate Subgroup!of Permutation Group
conjugate!of a group element
conjugate!of a group
conjugate!of a word
Conjugates
Conjugates!for finite fields
Conjugates!for gaussians
conjugates!of a field element, Galois
ConjugateSubgroup
ConjugateSubgroup!for ag groups
ConjugateSubgroups
ConjugationGroupHomomorphism
ConnectedComponent
ConnectedComponents
ConsiderKernels
ConsiderSmallerPowermaps
ConsiderTableAutomorphisms
Construction of Ag Groups
Construction of Special Ag Groups
ContainedCharacters
ContainedDecomposables
ContainedMaps
ContainedPossibleCharacters
ContainedPossibleVirtualCharacters
ContainedSpecialVectors
Contents of the Table Libraries
Conventions for Character Tables
convert!a finite field element to an integer
convert!to a list
convert!to a set
convert!to a string
convert!to an integer
ConwayPolynomial
CoprimeComplement
Copy
copy!an object
copy!an object
Copyright of GAP for MS-DOS
Copyright of GAP for TOS
Core
CorrespondingAutomorphism
Coset
coset!double
coset!double
Coset!for Permutation Groups
coset!left
coset!left
coset!right
coset!right
Cosets of Subgroups
cosets!double
Cosets!for Permutation Groups
cosets!left
cosets!right
CosetTableFpGroup
cross product of lists
crystallographic groups
Cycle
CycleLength
CycleLengths
Cycles
CyclicExtensionsTom
CyclicGroup for Ag Groups
CyclicGroup
CyclicGroup!for ag groups
cyclotomic field elements
Cyclotomic Field Records
Cyclotomic Integers
CyclotomicPolynomial
Cyclotomics
D
DadeGroup
DadeGroupNumbersZClass
data type!unknown
DEC
DecodeTree
DecomPoly
DecomposedFixedPointVector
DecomposedLeftCells
decomposition matrix
Decomposition
DecompositionInt
decomposition!of polynomials
Decreased
default field!for cyclotomics
default functions
default ring!for cyclotomic integers
DefaultField and Field for Cyclotomics
DefaultField
DefaultField!for algebraic extensions
DefaultRing and Ring for Cyclotomic Integers
DefaultRing
defect
DefectApproximation
Degree for class functions
Degree
DegreeFFE
degree!of a finite field element
DegreeOperation
Delta
Denominator
denominator!of a rational
Depth
Derangements
Derivative
DerivedSeries
DerivedSeries!for ag groups
DerivedSubgroup
DerivedSubgroup!for character tables
Determinant for characters
DeterminantMat
DiagonalizeMat
Diameter
Difference
DifferenceAgWord
DifferenceBlist
difference!of algebra elements
difference!of boolean lists
difference!of gaussians
difference!of list and algebra element
difference!of records
DihedralGroup
Dimension for MeatAxe Modules
Dimension
Dimension!of vector space
dimension!of vector space
Dimensions for MeatAxe matrices
DimensionsLoewyFactors
DimensionsMat
direct product
DirectedEdges
DirectProduct for Ag Groups
DirectProduct for Groups
DirectProduct
DirectProduct!for ag groups
DirectProduct!for groups
DirectSumCartanMat
discrete logarithm!of a finite field element
dispatcher functions
Dispatchers
Display for MeatAxe matrices
Display for MeatAxe Permutations
DisplayCharTable
DisplayCrystalFamily
DisplayCrystalSystem
Display!for character tables
DisplayQClass
DisplaySpaceGroupGenerators
DisplaySpaceGroupType
DisplayTom
DisplayZClass
Distance
DistanceGraph
DistanceSet
DistanceSetInduced
DivisorsInt
divisors!of an integer
Dixon Schneider
DixonInit
DixonSplit
DixontinI
D_n lattices
d_N
DnLattice
DnLatticeIterative
do
Domain Functions for Number Fields
domain record!for right cosets
Domain Records
Domain
Domains
Double Coset Records
DoubleCoset
DoubleCosetGroupOps
DoubleCosets
doublequotes
DualGMod
DualMatGroupSagGroup
E
E
EB
EC
ED
EdgeGraph
EdgeOrbitsGraph
Edit
EE
EF
EG
EH
EI
Eigenvalues
EJ
EK
EL
ElementAlgebra
ElementaryAbelianGroup for Ag Groups
ElementaryAbelianGroup
ElementaryAbelianGroup!for ag groups
ElementaryAbelianSeries
ElementaryAbelianSeries!for ag groups
ElementaryAbelianSeries!for character tables
ElementaryAbelianSeries!for Permutation Groups
ElementaryDivisorsMat
ElementOfOrder
ElementOrdersPowermap
ElementRowSpace
Elements for Ag Groups
Elements for Groups
Elements of Finitely Presented Algebras
Elements
Elements!for ag groups
Elements!for conjugacy classes of subgroups
Elements!for Conjugacy Classes
Elements!for double cosets
Elements!for finite fields
Elements!for finitely presented groups
Elements!for groups
Elements!for Permutation Groups
Elements!for right cosets
Elements!for vector spaces
elements!of a domain
ElementWithCharPol
elif
EliminatedWord
else
EM
Embedding!into direct products
Embedding!into semidirect products
embeddings of lattices
e_N
end
Enlarging Lists
Environment
environment
equality!for field homomorphisms
equality!of ag words
equality!of algebra elements
equality!of gaussians
equality!of group elements
equality!of group homomorphisms
equality!of records
ER
Error
errors!syntax
ES
ET
EU
EuclideanDegree
EuclideanDegree!for gaussians
EuclideanDegree!for polynomials
EuclideanDegree!for polynomials
EuclideanQuotient
EuclideanQuotient!for gaussians
EuclideanQuotient!for polynomials
EuclideanRemainder
EuclideanRemainder!for gaussians
EuclideanRemainder!for polynomials
EulerianFunction
Eulers totient function
EV
evaluation
EW
EX
Example Functions
Example, normal closure
Examples of Generic Character Tables
Examples of the ATLAS format for GAP tables
Examples of Vector Enumeration
Examples
Exec
execution
Exponent
ExponentAgWord
Exponent!for character tables
exponent!of the prime residue group
Exponents
ExponentsAgWord
ExponentsPermSolvablePermGroup
ExponentSumWord
Expressions
ExtendedIntersectionSumAgGroup
ExtendStabChain
Extension Element Records
ExtensionAutomorphism
Extract
Extraction Functions
ExtraSpecialDecomp
EY
F
Factor Groups of Ag Groups
factor group!table of
FactorArg
FactorGroup for AgGroups
FactorGroup
FactorGroupElement
FactorGroup!for ag groups
FactorGroupNormalSubgroupClasses
Factorial
Factorization for PQp
Factorization
factorization!of an integer
Factors
FactorsAgGroup
Factors!for gaussians
Factors!for polynomials
Factors!for polynomials
FactorsInt
Faithful Permutation Characters
Features of GAP for MS-DOS
Features of GAP for TOS
Features of GAP for UNIX
features!under MS-DOS
features!under TOS
features!under UNIX
FFList
fi
Fibonacci
Field Extensions
Field functions for Algebraic Extensions
Field Functions for Finite Fields
Field Functions for Gaussian Rationals
Field Functions for Rationals
Field Homomorphisms
field homomorphisms!Frobenius
field homomorphisms!of algebraic extensions
Field Records
Field
field!cyclotomic
field!finite
Field!for algebraic extensions
field!for cyclotomics
field!galois
FieldGenCentMat
field!number
Fields over Subfields
Fields
file!append to a
file!load a library
file!load a
file!log input to a
file!log to a
FileNameCharTable
file!print to a
file!read a library
file!read a
Filtered
find!an element in a list
find!an element in a sorted list
Fingerprint for MeatAxe Matrix Algebras
Fingerprint
Finite Field Elements
Finite Fields
Finite Polycyclic Groups
Finitely Presented Algebras
Finitely Presented Groups
finiteness test!for domains
First
FirstClassPQp
FirstNameCharTable
FittingSubgroup
FittingSubgroup!for character tables
FixedSubmodule
Flat
f_N
for loop
For
for
ForAll
ForAny
Format of Sections
FpAlgebra
FpAlgebraOps.OperationQuotientModule
FpGroup for Ag Groups
FpGroup!for ag groups
FpGroupPresentation
FpGroupQClass
Frame
FrattiniSubgroup
FrattiniSubgroup!for character tables
Free Modules
FreeAlgebra
FreeGroup
Frobenius group
Frobenius Schur indicator
FrobeniusAutomorphism
ftp
Function Calls
function
Functions depending on nauty
Functions for Character Tables
Functions for Class Functions
Functions for Finitely Presented Algebras
Functions for Matrix Algebras
Functions for MeatAxe Matrices
Functions for MeatAxe Matrix Algebras
Functions for MeatAxe Matrix Groups
Functions for MeatAxe Permutations
Functions for Quotient Spaces
Functions for Row Modules
Functions for Row Space Cosets
Functions for Row Spaces
Functions to construct and modify graphs
Functions to construct new graphs from old
Functions to determine regularity properties of graphs
Functions to inspect graphs, vertices and edges
Functions
fusion map!get
fusion of classes
FusionCharTableTom
FusionConjugacyClasses
FusionConjugacyClasses!for character tables
fusions
FusionsAllowedByRestrictions
fusion!store
G
galois automorphism
galois conjugate characters
Galois conjugates!of a field element
galois conjugate!unique
galois conjugation
galois field
Galois group!of a field
Galois group!of an extension field
Galois
GaloisCyc
GaloisField
GaloisGroup for Extension Fields
GaloisGroup for Number Fields
GaloisGroup
GaloisGroup!for finite fields
GaloisMat
GaloisType
GAP for MS-DOS
GAP for MS-DOS
GAP for TOS
GAP for UNIX
GAPChars
GapObject
.gaprc
gap.rc
.gaprc
gap.rc
.gaprc
Gaussians
Gcd
Gcd!for polynomials
Gcd!for polynomials
GcdRepresentation
GeneralLinearGroup
GeneralUnitaryGroup
Generating Systems of Ag Groups
generator!of the prime residue group
generator!of the prime residue group
generators!of Galois group
GeneratorsPrimeResidues
generic character tables
Generic Character Tables
generic character tables
GeodesicsGraph
GetFusionMap
Getting and Installing GAP
Getting Character Tables
Getting GAP
GF
Girth
GlobalParameters
GModule
g_N
GRAPE Package
Grape
Graph
Group Constructions
Group Elements
Group for Ag Groups
Group for MeatAxe Matrices
Group Functions for Ag Groups
Group Functions for Finitely Presented Groups
Group Functions for Matrix Groups
Group Functions for Permutation Groups
Group Homomorphisms
group homomorphisms!by images
group homomorphisms!conjugation
group homomorphisms!inner
group homomorphisms!natural
group homomorphisms!operation
Group Libraries
Group Records
Group
Group!for ag groups
GroupHomomorphismByImages
GroupHomomorphismsByImages!for permutation groups
GroupId
Groups
H
HallConjugatingWordAgGroup
HallSubgroup
Hecke
HeckeCharTable
HeckeReflectionRepresentation
Help Index
help!abbreviating
Help
help!browsing
help!format
help!index
help!redisplaying
help!scrolling
Hermann-Mauguin symbol
h_N
HomGMod
Homomorphisms for Permutation Groups
Homomorphisms
homomorphisms!by images, group
homomorphisms!conjugation, group
homomorphisms!Frobenius, field
homomorphisms!inner, group
homomorphisms!natural, group
homomorphisms!of algebras
homomorphisms!of fields
homomorphisms!of groups
homomorphisms!operation, group
How to Extend a Table Library
HP-UX
I
ideal decomposition
IdempotentsTom
Identical Lists
Identical Records
Identifiers
IdentityMapping
IdentityMat
IdWord
if statement
If
if
Igs
Image
Image!for blocks homomorphisms
Image!for field homomorphisms
Image!for Frobenius automorphisms
Image!for group homomorphisms
Image!for GroupHomomorphismByImages for permutation groups
Image!for GroupHomomorphismByImages
Image!for OperationHomomorphism
Image!for transitive constituent homomorphisms
Images
Images!for field homomorphisms
Images!for group homomorphisms
ImagesRepresentative
ImagesRepresentative!for GroupHomomorphismByImages
In for Records
In
i_N
IncludeIrreducibles
IndependentSet
Indeterminate
Indeterminateness
Index
Index!for finitely presented groups
Indicator
Indirected
Induced
InducedCyclic
Induced!for character tables
InducedGMod
InducedSubgraph
Inequalities
InertiaSubgroup
Inflated
InfoLattice1
in!for ag groups
in!for algebraic Elements
in!for conjugacy classes of subgroups
in!for Conjugacy Classes
in!for domains
in!for finite fields
in!for finitely presented groups
in!for gaussians
in!for matrix groups
in!for records
InitClassesCharTable
InitFusion
InitialiseSeed
initialize classlengths
InitPowermap
InitPQp
InitSQ
InnerAutomorphism
Installation of GAP for MS-DOS
Installation of GAP for TOS
Installation of GAP for UNIX
installation
installation!under MS-DOS
installation!under TOS
installation!under UNIX
installation!under Windows
Installing the ANU pq Package
Installing the ANU Sq Package
Installing the GRAPE Package
Installing the MeatAxe Package
Installing the NQ Package
Installing the SISYPHOS Package
Installing the Smash Package
Installing the Vector Enumeration Package
Installing the Weyl Package
Installing the XGap Package
Int
IntCyc
integer part of a quotient
Integers
Integral Bases for Number Fields
IntegralizedMat
InterpolatedPolynomial
IntersectBlist
Intersection for Ag Groups
Intersection for Groups
Intersection for MeatAxe Modules
Intersection
IntersectionBlist
Intersection!for ag groups
Intersection!for double cosets
Intersection!for finite fields
Intersection!for finitely presented groups
Intersection!for groups
Intersection!for matrix groups
Intersection!for Permutation Groups
Intersection!for right cosets
intersection!of boolean lists
intersection!of boolean lists
intersection!of domains
intersection!of sets
intersection!of sets
Intersection!of vector spaces
Intersections of Ag Groups
IntersectionsTom
IntersectionSumAgGroup
IntersectSet
IntFFE
InverseClassesCharTable
InverseMap
InverseMapping
InverseMapping!for GroupHomomorphismByImages
InverseMatMod
Irr
irrationalities
IrreducibleDifferences
IrreducibleSolvableGroup
IsAbelian
IsAbelian!for character tables
IsAbsIrredGMod
IsAbsolutelyIrreducible for MeatAxe Modules
IsAgGroup
IsAgWord
IsAlgebra
IsAlgebraElement
IsAlgebraicElement
IsAlgebraicExtension
IsAssociated
IsAssociated!for gaussians
IsAutomorphism
IsBijection
IsBipartite
IsBlist
IsBool
IsBound
IsCentral
IsCharacter
IsCharTable
IsClassFunction
IsCommutativeRing
IsCompatiblePCentralSeries
IsCompleteGraph
IsConjugacyClass
IsConjugacyClassSubgroups
IsConjugate
IsConnectedGraph
IsConsistent
IsCoset
IsCyc
IsCycInt
IsCyclic for Ag Groups
IsCyclic
IsCyclic!for ag groups
IsCyclic!for character tables
IsCyclicTom
IsCyclotomicField
IsDistanceRegular
IsDoubleCoset
IsEdge
IsElementAgSeries
IsElementaryAbelian
IsElementaryAbelianAgSeries
IsEndomorphism
IsEpimorphism
IsEqualSet
IsEquivalent for MeatAxe Modules
IsEquivalent for Row Modules
IsEquivalentOperation
IsEuclideanRing
IsFFE
IsField
IsFieldHomomorphism
IsFinite
IsFinite!for ag groups
IsFinite!for double cosets
IsFinite!for right cosets
IsFinite!for vector spaces
IsFixpoint
IsFixpointFree
IsFpAlgebra
IsFpAlgebraElement
IsFreeModule
IsGaussInt
IsGaussRat
IsGeneralMapping
IsGModule
IsGraph
IsGroup
IsGroupElement
IsGroupHomomorphism
IsHomomorphism
IsHomomorphism!for fields
IsHomomorphism!for groups
IsIdentical
IsIdenticalPresentationFpGroup
IsInjective
IsInjective!for field homomorphisms
IsInjective!for group homomorphisms
IsInt
IsIntegralRing
IsIrredGMod
IsIrreducible for MeatAxe Modules
IsIrreducible for Row Modules
IsIrreducible
IsIrreducible!for gaussians
IsIsomorphic
IsIsomorphicGraph
IsIsomorphicPGroup
IsIsomorphism
IsLaurentPolynomialRing
IsLeftCoset
IsList
IsLoopy
IsMapping
IsMapping!for GroupHomomorphismByImages for permutation groups
IsMapping!for GroupHomomorphismByImages
IsMat
IsMatAlgebra
IsMeatAxeMat
IsMeatAxePerm
IsMinimalNonmonomial
IsModule
IsMonomial for characters
IsMonomial for groups
IsMonomorphism
IsNilpotent
IsNilpotent!for ag group
IsNilpotent!for character tables
IsNormal for Ag Groups
IsNormal
IsNormalExtension
IsNormal!for ag groups
IsNormalized
IsNullGraph
IsNumberField
isoclinic table
IsomGMod
Isomorphisms
IsParent
IsPerfect
IsPerfect!for ag group
IsPerm
IsPermChar
IsPermGroup
IsPNilpotent
IsPolynomial
IsPolynomialRing
IsPrime
IsPrime!for gaussians
IsPrimeInt
IsPrimePowerInt
IsPrimitive for Characters
IsPrimitive
IsPrimitiveGMod
IsPrimitiveRootMod
IsQuasiPrimitive
IsRange
IsRat
IsRec
IsRegular
IsRegularGraph
IsRightCoset
IsRing
IsRowSpace
IsSemiEchelonBasis
IsSemiRegular
IsSemiRegular!for Permutation Groups
IsSet
IsSimple
IsSimple!for character tables
IsSimpleGraph
IsSolvable
IsSolvable!for character tables
IsSolvable!for Permutation Groups
IsSpaceCoset
IsString
IsSubalgebra
IsSubgroup for Ag Groups
IsSubgroup
IsSubgroup!for ag groups
IsSubnormal
IsSubnormallyMonomial
IsSubset
IsSubsetBlist
IsSubset!for ag groups
IsSubset!for groups
IsSubset!for sets
IsSubspace
IsSupersolvable!for character tables
IsSurjective
IsSurjective!for field homomorphisms
IsSurjective!for group homomorphisms
IsTransitive
IsTrivial for Groups
IsTrivial!for groups
IsUniqueFactorizationRing
IsUnit
IsUnitalAlgebra
IsUnit!for gaussians
IsUnit!for matrix rings
IsUnknown
IsVector
IsVectorSpace
IsVertex
IsVirtualCharacter
IsWord
iterate a function over a list
Iterated
J
Jacobi
JenningsSeries
j_N
JohnsonGraph
K
KazhdanLusztigPolynomial
Kernel for class functions
Kernel
KernelChar
KernelFieldHomomorphism
Kernel!for blocks homomorphisms
Kernel!for fields
Kernel!for groups
Kernel!for OperationHomomorphism
KernelGroupHomomorphism
Keywords
KLCoefficient
k_N
Kronecker product
KroneckerProduct for MeatAxe matrices
KroneckerProduct for MeatAxe Modules
KroneckerProduct
L
Lambda
larger prime
LargestMovedPointPerm
LargestPrimeOrderElement
LargestPrimePowerOrderElement
last
lattice base reduction
lattice base reduction
lattice base reduction
Lattice for MeatAxe Modules
Lattice
LaurentPolynomialRing
Layers
Lcm
LeadingCoefficient
LeadingExponent
LeftCellRepresentation
LeftCells
LeftCoset
LeftCosets
LeftNormedComm!for group elements
LeftQuotient!for group elements
LeftQuotient!for words
Legendre
Length
length!of a list
length!of a string
length!of a word
LengthString
LengthWord
LenstraBase
Lexical Structure
libraries of character tables
library of character tables
library of character tables
library of character tables
library tables
library tables
library tables!add
library tables!generic
Line Editing
LinearCombination
LinearCombination!in vector space
LinearIndependentColumns
LinearOperation
List Assignment
List Elements
List
ListBlist
list!of primes
ListPerm
Lists
lists!boolean
ListStabChain
LLL algorithm!for characters
LLL algorithm!for Gram matrices
LLL algorithm!for vectors
LLL
LLLReducedBasis
LLLReducedGramMat
l_N
load!a file
load!a library file
local
LocalParameters
log input!to a file
logarithm of an integer
logarithm!of a finite field element, discrete
LogFFE
logical operations
logical
LogInputTo
LogInt
log!to a file
LogTo
LongestWeylWord
loop!for
loop!read eval print
loop!repeat
loop!while
LowerCentralSeries
LowerCentralSeries!for ag groups
LowerCentralSeries!for character tables
LowIndexSubgroupsFpGroup
Lucas
M
Main Loop
MAKElb11
MakeStabChain
MakeStabChainStrongGenerators
map
map!composition
map!indeterminateness
map!indirection by a
map!inverse of a
map!parametrize
map!parametrized
MappedExpression
MappedWord
Mapping Functions for Algebra Homomorphisms
Mapping Functions for Field Homomorphisms
Mapping Functions for Group Homomorphisms
Mapping Records
MappingByFunction
MappingPermListList
Mappings
Maps and Parametrized Maps
maps
Marks
MatAlgebra
MatAutomorphisms
MatClassMultCoeffsCharTable
MatGroupAgGroup
MatGroupSagGroup
MatGroupZClass
MatRepresentationsPGroup
Matrices
Matrix Algebras
matrix automorphisms
matrix automorphisms
Matrix Group Records
Matrix Groups
Matrix Representations of Finite Polycyclic Groups
Matrix Rings
matrix
MatrixOrder
MatScalarProducts
MatTom
MaximalElement
MaximalNormalSubgroups!for character tables
MaximalSubgroups
Maximum
maximum!of a list
maximum!of integers
MeatAxe Matrices
MeatAxe Matrix Algebras
MeatAxe Matrix Groups
MeatAxe Modules
MeatAxe Object Records
MeatAxe Package
MeatAxe Permutations
MeatAxeMat
MeatAxePerm
MeatAxe.Unbind
Membership Test for Domains
membership test!for ag groups
membership test!for algebraic extensions
membership test!for domains
membership test!for finite fields
membership test!for gaussians
membership test!for records
membershiptest!for groups
MergedCgs
MergedIgs
mersenne primes
MinBlocks
minimal polynom!of a field element
MinimalGeneratingSet
MinimalNonmonomialGroup
Minimum
minimum!of a list
minimum!of integers
MinPol
MinpolFactors
MinSubGMods
MinusCharacter
m_N
MOCChars
MOC!interface to
MOC!interface to
MOC!interface to
MOC!interface to
MOC!interface to
MOC!interface to
MOCTable
mod for character tables
Mod
Modified Todd-Coxeter
modular roots
Module for MeatAxe Matrix Algebras
Module Functions for MeatAxe Modules
Module Homomorphism Records
Module Homomorphisms
Module
Modules
ModulesSQ
Moebius inversion function
MoebiusMu
MoebiusTom
MolienSeries
Monomial Representations of Finite Polycyclic Groups
Monomiality Questions
More about Ag Groups
More about Ag Words
More about Algebras
More about Boolean Lists
More about Class Functions
More about Cyclotomics
More about Dispatchers
More about Finitely Presented Algebras
More about Generic Character Tables
More about Groups and Subgroups
More about Maps and Parametrized Maps
More about Matrix Algebras
More about Modules
More about Monomiality Questions
More about Ranges
More about Row Spaces
More about Sets
More about Special Ag Groups
More about Tables of Marks
More about the MeatAxe in GAP
More about Vector Enumeration
More about Vectors
MSDOS
MS-DOS!features
MS-DOS!installation
MS-DOS!options
multiplicative order of an integer
multiply!the elements of a list
multisets
Multivariate Polynomials
Murnaghan components
Murnaghan components
N
NaturalHomomorphism
NaturalModule for MeatAxe Matrix Algebras
NaturalModule
NewGroupGraph
newline
NextClassPQp
NextModuleSQ
NextPrimeInt
NF
NilpotentQuotient
NK
n_k
NofCyc
NoMessageScalarProduct!for character tables
Norm for class functions
Norm
normal subgroup!table of
NormalBaseNumberField
NormalClosure
NormalClosure!for character tables
NormalIntersection
NormalIntersection!for ag groups
Normalize
Normalized
NormalizedAutomorphisms
NormalizedOuterAutomorphisms
NormalizedUnitsGroupRing
Normalizer for Ag Groups
Normalizer
Normalizer!for ag groups
Normalizer!for finitely presented groups
Normalizer!for matrix groups
Normalizer!for Permutation Groups
NormalizerTom
NormalizerZClass
NormalSubgroupClasses
NormalSubgroups
NormalSubgroups!for character tables
NormedVector
NormedVectors
Norm!for algebraic extensions
Norm!for finite fields
Norm!for gaussians
norm!of a field element
not
NotifyCharTable
NQ Package
NrCombinations
NrCrystalFamilies
NrCrystalSystems
NrDadeGroups
NrDerangements
NrOrderedPartitions
NrPartitions
NrPartitionsSet
NrPermutationsList
NrPolyhedralSubgroups
NrQClassesCrystalSystem
NrRestrictedPartitions
NrSpaceGroupTypesZClass
NrSubs
NrTuples
NrUnorderedTuples
NrZClassesQClass
NullAlgebra
NullGraph
NullMat
NullspaceMat
Number Field Records
number fields!Galois group
Number Theory
Number
NumberAlgebraElement
number!Bell
number!binomial
NumberConjugacyClasses
number!of divisors of an integer
number!of elements in a list
number!Stirling, of the first kind
number!Stirling, of the second kind
NumberVector
Numerator
numerator!of a rational
O
od
Omega for characters
One Cohomology Group
OneCoboundaries
OneCocycles
OneIrreducibleSolvableGroup
OnePrimitiveGroup
OneSolvableGroup
OneThreeGroup
OneTwoGroup
OnLeft
OnLeftCosets
OnLines
OnPairs
OnPoints
OnRight
OnRightCosets
OnSets
OnTuples
Operation for Algebras
Operation for Finitely Presented Algebras
Operation for MeatAxe Matrix Groups
Operation
OperationCosetsFpGroup
OperationHomomorphism for Algebras
OperationHomomorphism for Modules
OperationHomomorphism
OperationHomomorphism!for blocks
OperationHomomorphism!for transitive constituents
OperationModule
Operations for algebraic elements
Operations for Algebras
Operations for Booleans
Operations for Cyclotomics
Operations for Field Elements
Operations for Finite Field Elements
Operations for Gaussians
Operations for Group Elements
Operations for Groups
Operations for Integers
Operations for Lists
Operations for Mappings
Operations for Matrices
Operations for MeatAxe Matrices
Operations for MeatAxe Permutations
Operations for Permutations
Operations for Polynomials
Operations for Quotient Spaces
Operations for Rationals
Operations for Records
Operations for Ring Elements
Operations for Row Modules
Operations for Row Space Cosets
Operations for Row Spaces
Operations for Unknowns
Operations for Vectors
Operations for Words
Operations of Groups
Operations of Permutation Groups
operations record
Operations Records for Character Tables
Operations
operations!for booleans
operations!for groups
operations!for integers
operations!for lists
operations!for polynomials
operations!for rationals
operations!for vectors
Operators for Character Tables
Operators for Class Functions
Operators for Finitely Presented Algebras
operators!for cyclotomics
operators!for cyclotomics
options
options!under MS-DOS
options!under TOS
options!under UNIX
or
Orbit
Orbitalgorithms of Ag Groups
OrbitalGraphIntersectionMatrices
Orbit!for ag groups
OrbitFusions
OrbitLength
OrbitLengths
OrbitPowermaps
Orbits
OrbitsCharacters
Order for MeatAxe matrices
Order for MeatAxe Permutations
Order
OrderedPartitions
OrderFFE
Order!for finitely presented groups
OrderGraph
ordering!of ag words
ordering!of algebra elements
ordering!of gaussians
ordering!of group elements
ordering!of group homomorphisms
ordering!of records
OrderMat
OrderMod
order!of a finite field element
order!of a group element
order!of the prime residue group
Organization of the Table Libraries
OrthogonalComponents
OrthogonalEmbeddings
OrthogonalEmbeddingsSpecialDimension
Other matrix functions
Other Operations
OuterAutomorphisms
output!suppressing
P
PadicCoefficients
paramap
ParametersCentralizers
parametrized maps
Parametrized
Parent Algebras and Subalgebras
Parent
partitions
Partitions
partitions!improper, of an integer
partitions!of a set
partitions!of an integer
partitions!ordered, of an integer
partitions!restricted, of an integer
PartitionsSet
PartitionTuples
part!of a string
PCentralSeries
PCore
Permanent
PermBounds
PermCharInfo
PermChars
PermCharsTom
PermGMod
PermGroupAgGroup
PermGroup!for matrix groups
PermGroupOps.ElementProperty
PermGroupOps.Indices
PermGroupOps.LargestMovedPoint
PermGroupOps.MovedPoints
PermGroupOps.NrMovedPoints
PermGroupOps.PgGroup
PermGroupOps.SmallestMovedPoint
PermGroupOps.StrongGenerators
PermGroupOps.SubgroupProperty
PermList
PermRepresentationRoots
Permutation Character Candidates
permutation character
permutation characters
permutation characters!candidates for
permutation characters!candidates for
permutation characters!faithful candidates for
Permutation Group Records
Permutation Groups
Permutation
PermutationCharacter
PermutationCharacter
Permutations
permutations!fixpointfree
PermutationsList
permutations!list
Permuted
PermWeylWord
Phi
PointGraph
PolyhedralGroup
Polynomial
PolynomialRing
Polynomials
Porting GAP
Position
PositionProperty
PositionSorted
PositionWord
Power
Powermap
PowerMapping
powermaps
powermaps
powermaps
powermaps
powermaps
powermaps
powermaps
powermaps
PowermapsAllowedBySymmetrisations
PowerMod
power!of algebra elements
power!of gaussians
power!of group elements
power!of records
power!of words
PowerPartition
powerset
Powmap
Pq
PqDescendants
PqHomomorphism
PqList
PQp
PQuotient
precedence
PrefrattiniSubgroup
p-regular table
PreImage
PreImage!for blocks homomorphisms
PreImage!for field homomorphisms
PreImage!for group homomorphisms
PreImage!for OperationHomomorphism
PreImages
PreImages!for field homomorphisms
PreImages!for group homomorphisms
PreImages!for transitive constituent homomorphisms
PreImagesRepresentative
Presentation Records
PresentationFpGroup
PresentationNormalClosure
PresentationNormalClosureRrs
PresentationSubgroup
PresentationSubgroupMtc
PresentationSubgroupRrs
previous result
PrevPrimeInt
primary subgroup generators
primary subgroup generators
primary subgroup generators
prime residue group
prime residue group
prime residue group!exponent
prime residue group!generator
prime residue group!generator
prime residue group!order
PrimeBlocks
PrimeResidues
Primes
primes!mersenne
primitive element
primitive root modulo an integer
PrimitiveGroup
PrimitiveRootMod
Print
PrintAmbiguity
PrintArray
PrintCharTable
PrintClassSubgroupLattice
PrintClassSubgroupLattice
PrintDefinitionFpAlgebra
Print!for character tables
Print!for double cosets
Print!for right cosets
Printing of Records
PrintSisyphosInputPGroup
PrintSISYPHOSWord
print!to a file
PrintTo
PrintToCAS
PrintToLib
PrintToMOC
ProbabilityShapes
Procedure Calls
Product
product!for double cosets
product!for right cosets
product!of a group and a group element
product!of algebra elements
product!of gaussians
product!of group elements
product!of list and algebra element
product!of list and group element
product!of list and group element
product!of records
product!of words
Profile
Projection!for subdirect products
ProjectionMap
Projection!onto component of direct products
Projection!onto component of semidirect products
prompt
prompt!partial
Properties and Property Tests
Property Tests for Algebras
PRump
Q
quadratic irrationalities
quadratic number fields
quadratic residue
quadratic residue
quadratic residue
Quadratic
QuoInt
Quotient Space Records
Quotient Spaces
Quotient
QuotientGraph
QuotientMod
quotient!of gaussians
quotient!of group elements
quotient!of groups
quotient!of list and group element
quotient!of list and word
quotient!of records
quotient!of words
QuotientRemainder
QuotientRemainder!for gaussians
QuotientRemainder!for polynomials
R
Radical
random element!of a domain
Random Methods for Permutation Groups
Random! Methods for Permutation Groups
Random
RandomElement
Random!for ag groups
Random!for algebraic Extensions
Random!for Conjugacy Classes
Random!for double cosets
Random!for finite fields
Random!for gaussians
Random!for matrix groups
Random!for Permutation Groups
Random!for right cosets
RandomList
RandomOrders for MeatAxe Matrix Algebras
RandomOrders for MeatAxe Matrix Groups
RandomSeed
Ranges
Rank for MeatAxe matrices
RankMat
rational characters
RationalizedMat
Rationals
read eval print loop
read!a file
read!a library file
Read
Reading Sections
ReadLib
RealClassesCharTable
RecFields
Record Assignment
record fields!for algebraic extension fields
record fields!for extension elements
record!operations
Records
recursion
recursive functions
Redisplaying a Section
Reduced Reidemeister-Schreier
Reduced
ReducedAgWord
ReducedOrdinary
ReducedWeylWord
ReduceStabChain
RefinedAgSeries
RefinedSubnormalSeries
regular classes
RelativeOrder
remainder of a quotient
RemInt
remove!an element from a set
RemoveEdgeOrbit
RemoveRelator
RemoveSet
repeat loop
Repeat
repeat
representation!as a sum of two squares
Representative
representative!of a domain
RepresentativeOperation for Matrix Algebras
RepresentativeOperation
RepresentativeOperation!for matrix groups
RepresentativeOperation!for Permutation Groups
RepresentativesFusions
RepresentativesOperation
RepresentativesPowermaps
RequirePackage
residue!quadratic
residue!quadratic
residue!quadratic
Restricted Special Ag Groups
Restricted
Restricted!for character tables
RestrictedPartitions
RestrictedPerm
Return
return
reverse the elements of a list
Reversed
Right Cosets Records
RightCoset for Ag Groups
RightCoset
RightCoset!for ag groups
RightCosetGroupOps
RightCosets
RightNormedComm!for group elements
Ring Functions for Gaussian Integers
Ring Functions for Integers
Ring Functions for Laurent Polynomial Rings
Ring Functions for Matrix Rings
Ring Functions for Polynomial Rings
Ring Records
Ring
ring!for cyclotomic integers
Rings
r_N
RootInt
RootMod
root!of 1 modulo an integer
root!of an integer modulo another
root!of an integer, smallest
root!of an integer
RootOf
roots of unity
RootsUnityMod
Rootsystem
RoundCyc
Row Module Records
Row Modules
Row Space Bases
Row Space Basis Records
Row Space Coset Records
Row Space Cosets
Row Space Records
Row Spaces
RowSpace
Runtime
S
Save
Save!for presentation records
SavePqList
ScalarProduct
ScalarProduct!for character tables
scalars
ScanMOC
Schreier-Sims!Random
scope
secondary subgroup generators
secondary subgroup generators
secondary subgroup generators
Selecting Library Tables
Selection Functions
selections
SemidirectProduct for Groups
SemidirectProduct
SemidirectProduct!for groups
SemiEchelonBasis
SemiLinearDecomp
sequence!bernoulli
sequence!fibonacci
sequence!lucas
Series of Subgroups
set difference!of domains
Set Functions for Ag Groups
Set functions for Algebraic Extensions
Set Functions for Conjugacy Classes
Set Functions for Double Cosets
Set Functions for Finite Fields
Set Functions for Finitely Presented Groups
Set Functions for Gaussians
Set Functions for Groups
Set Functions for Integers
Set Functions for Matrix Groups
Set Functions for Matrix Rings
Set Functions for Permutation Groups
Set Functions for Rationals
Set Functions for Right Cosets
Set Functions for Sets
Set Functions for Subgroup Conjugacy Classes
Set Functions for Vector Spaces
Set Theoretic Functions for Algebras
Set Theoretic Functions for MeatAxe Modules
Set
SetPrintLevel
SetPrintLevel
Sets
ShallowCopy
Share Libraries
short vectors spanning a lattice
short vectors spanning a lattice
ShortestVectors
SiftedAgWord
SiftedVector
Sigma
SignInt
sign!of an integer
SignPartition
SignPerm
SimpleReflectionMatrices
SimplifiedFpGroup
SimplifyPresentation
SISYPHOS Package
Sisyphos
Size for Ag Groups
Size for MeatAxe Modules
Size
SizeBlist
Size!for ag groups
Size!for character tables
Size!for conjugacy classes of subgroups
Size!for Conjugacy Classes
Size!for double cosets
Size!for finitely presented groups
Size!for matrix groups
Size!for Permutation Groups
Size!for right cosets
size!of a domain
Size!of vector spaces
SizesConjugacyClasses!for character tables
SizeScreen
smaller prime
SmallestGeneratorPerm
SmallestMovedPointPerm
SmallestRootInt
Smash, Matrix Groups and G-Modules
Smash Package
SmashGMod
s_N
SolutionMat
SolvableGroup
SolvableQuotient
Some Notes on Character Theory in GAP
Some special vertex subsets of a graph
sort a list
Sort
SortCharactersCharTable
SortCharTable
SortClassesCharTable
Sortex
SortParallel
space
SpaceGroup
Special Ag Group Records
Special Ag Groups
special character sequences
SpecialLinearGroup
SpecialUnitaryGroup
SpinBasis
split classes
SplitCharacters
SplittingField for MeatAxe Modules
Sq
square root!of an integer
StabChain
StabChainOptions
Stabilizer Chains
Stabilizer for Ag Groups
Stabilizer
Stabilizer!for ag groups
Stabilizer!for matrix groups
Stabilizer!for Permutation Groups
StandardAssociate
StandardAssociate!for gaussians
StandardAssociate!for polynomials
StandardAssociate!for polynomials
StandardBasis for Row Modules
StandardPresentation
StarCyc
Statements
Stirling number of the first kind
Stirling number of the second kind
Stirling1
Stirling2
StoreFusion
Storing Subgroup Information
String
Strings and Characters
structure constant
structure constant
structure constant
Subalgebra
SubdirectProduct
Subfields of Cyclotomic Fields
subgroup and permutation character
Subgroup Conjugacy Class Records
subgroup fusions
subgroup fusions
subgroup fusions
subgroup fusions
subgroup fusions
subgroup fusions
subgroup fusions
subgroup fusions
subgroup fusions
subgroup fusions
subgroup fusions
subgroup generators tree
Subgroup Presentations
Subgroup
SubgroupFusions
Subgroups and Properties of Ag Groups
Subgroups
subgroups!polyhedral
Sublist
Submodule
SubnormalSeries
SubQuotGMod
Subroutines of Decomposition
subset test!for domains
subsets
subsets
Subspace
Subspaces and Parent Spaces
SubstitutedWord
SubString
substring!of a string
subtract!a boolean list from another
subtract!a set from another
SubtractBlist
SubtractSet
Subword
Sum
SumAgGroup
SumAgWord
SumFactorizationFunctionAgGroup
SumIntersectionSpaces for MeatAxe matrices
sum!of algebra elements
sum!of divisors of an integer
sum!of gaussians
sum!of list and algebra element
sum!of records
SunOS
SupersolvableResiduum!for character tables
SylowComplements
SylowSubgroup
SylowSubgroup!for ag groups
SylowSubgroup!for matrix groups
SylowSubgroup!for Permutation Groups
SylowSystem
Symbols
symmetric group!powermap
SymmetricGroup
SymmetricParts
Symmetrisations
symmetrizations!orthogonal
symmetrizations!symplectic
SymplecticComponents
SymplecticGroup
SymTensorProductDecomp
syntax errors
System V
SystemNormalizer
SysV
table automorphisms
table automorphisms
table automorphisms
table of factor group
Table of Marks Records
table of normal subgroup
TableAutomorphisms
TableOfMarks
TableOfMarks
Tables of Marks
tables
tables
tables
tables!add to a library
tables!format
tables!format
tables!generic
tables!generic
tables!generic
tables!libraries of
tables!library
tables!library
tables!library
tables!sort
tables!sort
tables!sort
T
tabulator
Tau
tensor product
Tensored
TensorProductDecomp
TensorProductGMod
TestCharTable
TestConsistencyMaps
test!for a boolean
test!for a cyclotomic field
test!for a cyclotomic integer
test!for a cyclotomic
test!for a finite field element
test!for a list
test!for a power of a prime
test!for a prime
test!for a primitive root
test!for a range
test!for a rational
test!for a set
test!for a string
test!for a vector
test!for algebra element
test!for algebraic element
test!for algebraic extension
test!for an integer
test!for gaussian integer
test!for gaussian rational
test!for group element
test!for list elements
test!for membership
test!for normal extension
test!for number field
test!for record elements
test!for records
test!for set equality
test!for subsets
TestHomogeneous
TestInducedFromNormalSubgroup
TestMonomial
TestMonomialQuick
TestQuasiPrimitive
TestRelativelySM
TestSubnormallyMonomial
TestTom
The 2-Groups Library
The 3-Groups Library
The Basic Groups Library
The Crystallographic Groups Library
The Irreducible Solvable Linear Groups Library
The Library of Tables of Marks
The MeatAxe
The Prime Quotient Algorithm
The Primitive Groups Library
The Programming Language
The Solvable Groups Library
The Solvable Quotient Algorithm
The Syntax in BNF
The Transitive Groups Library
The XGap Package
then
ThreeGroup
Tietze options
Tietze record
Tietze Transformations
t_N
TomCyclic
TomDihedral
TomFrobenius
TomMat
TOS
TOS!features
TOS!installation
TOS!options
total length of a presentation
Trace for MeatAxe matrices
Trace
Trace!for algebraic extensions
Trace!for gaussians
TraceMat
trace!of a field element
TransferDiagram
TransformingPermutations
TransformingPermutationsCharTables
TransitiveGroup
TransitiveIdentification
Transitivity
Transposed for MeatAxe matrices
TransposedMat
tree decoding
TriangulizeMat
TrivialSubalgebra
TrivialSubgroup
Tuples
TwoGroup
TwoSquares
type!algebraic elements
type!boolean
type!cyclotomic
type!gaussian integers
type!gaussian rationals
type!integer
type!list
type!matrices
type!rationals
type!records
type!strings
type!words
TzEliminate
TzFindCyclicJoins
TzGo
TzGoGo
TzPrint
TzPrintGenerators
TzPrintLengths
TzPrintOptions
TzPrintPairs
TzPrintPresentation
TzPrintRelators
TzPrintStatus
TzSearch
TzSearchEqual
TzSubstitute
TzSubstituteCyclicJoins
U
ULTRIX
u_N
Unbind
UnderlyingGraph
UndirectedEdges
Union
UnionBlist
union!of boolean lists
union!of boolean lists
union!of domains
union!of sets
union!of sets
UnitalAlgebra
UnitalSubalgebra
UniteBlist
UniteSet
Units
Units!for gaussians
UNIX!features
UNIX!installation
UNIX!options
Unknown
Unknowns
UnorderedTuples
until
UpdateMap
Upgrading GAP
UpperCentralSeries
UpperCentralSeries!for character tables
Using the MeatAxe in GAP. An Example
Using Vector Enumeration with the MeatAxe
V
Value
ValueMolienSeries
Variables
Vector Enumeration Package
Vector Enumeration
Vector Space Functions for Algebras
Vector Space Functions for MeatAxe Modules
Vector Space Records
Vector Spaces
Vectors
VectorSpace
VEInput
VEOutput
Vertex-Colouring and Complete Subgraphs
VertexColouring
VertexDegree
VertexDegrees
VertexName
Vertices
VirtualCharacter
v_N
W
WedgeGMod
Weight
WeightsTom
Weyl Groups and Hecke Algebras
Weyl Package
Weyl
WeylClassPolynomials
WeylConjugacyClasses
WeylCosetPermRepresentation
WeylElements
WeylLengthPerm
WeylMueMat
WeylReflections
WeylRightCosetRepresentatives
WeylWordPerm
while loop
While
while
Whitespaces
Why Group Characters
Windows
Windows!installation
w_N
Words in Abstract Generators
Words in Finite Polycyclic Groups
words
wreath product!character table
WreathPower
WreathProd
WreathProduct for Ag Groups
WreathProduct for Groups
WreathProduct
WreathProduct!for ag groups
X
X
x_N
Y
y_N
Z
Z
ZClassRepsDadeGroup
Zero and One for Algebras
Zero and One for Matrix Algebras
ZumbroichBase
~~~
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