Department of Mathematics

University of Illinois at Urbana-Champaign

1409 W. Green Street (MC-382)

Urbana, Illinois 61801-2975

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Office: 373 Altgeld Hall
Phone: (217) 244-6652
Fax: (217) 333-9576
e-mail: **

**Area of interest and specialization:**

**Selected Publications**

Reducing Heegaard splittings of 3-manifolds.* Illinois J. Math.* (to appear).

(with A.A. Klyachko), The asphericity and Freiheitssatz for certain LOT-presentations of groups. *Internat. J. Algebra Comp. *(to appear).

Intersecting free subgroups in free products of groups. *Internat. J. Algebra Comp.* (to appear).

(with S.W. Margolis and J.C. Meakin), On one-relator groups and one-relator inverse monoids. *J. Pure Appl. Algebra *(to appear).

(with J.C. Meakin), On asphericity and Freiheitssatz for certain finitely presented groups. *J. Pure Appl. Algebra* (to appear).

(with P.E. Schupp), A remark on finitely generated subgroups of free groups. Algorithmic problems in groups and semigroups (Lincoln, NE, 1998), 139--142, Trends Math., Birkhäuser Boston, Boston, MA (2000).

The relation and second homotopy modules of free Burnside groups of large even exponents.* J. Group Theory *3 (2000) 323--328.

The Burnside groups. In *Encyclopedia of Mathematics*, Kluwer (2000) to appear.

(with A.A. Klyachko), Solving equations of length at most six over torsion-free groups. *J. Group Theory* 3 (2000) 329--337.

On finitely presented groups given by periodic relators. *J. Group Theory* 3 (2000), 95--99.

On the intersection of finitely generated subgroups in free products of groups. Internat.* J. Algebra Comp. *9 (1999), 521--528.

(with P.E. Schupp), A remark on finitely generated subgroups of free groups. In *Algorithmic Problems in Groups and Semigroups*, (J.-C. Birget et al, Eds.), Birkhauser (1999) 139--142.

The Whitehead asphericity conjecture and periodic groups. *Internat. J. Algebra Comp.* 9 (1999) 529--538.

On endomorphisms of free groups that preserve primitivity.* Arch. Math. (Basel) *72 (1999) 92--100.

An asphericity conjecture and Kaplansky problem on zero divisors. *J. Algebra* 216 (1999) 13--19.

Some remarks on the Whitehead asphericity conjecture. *Illinois J. Math*. 43 (1999) 793--799.

(with P.E. Schupp), On the hyperbolicity of small cancellation groups and one-relator groups, *Trans. Amer. Math. Soc.* 350 (1998) 1851--1894.

On aspherical presentations of groups.* Electron. Res. Announc. Amer. Math. Soc.* 4 (1998) 109--114.

On the Burnside problem for groups of even exponent. Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998).* Doc. Math*., *Extra Vol. ICM-98 II*, (1998) 67--76.

On certain elements of free groups. *J. Algebra* 204 (1998) 394--405.

(with A. Yu. Ol'shanskii), On finite and locally finite subgroups of free Burnside groups of large even exponents. *J. Algebra* 195 (1997) 241--284.

(with A. Yu. Ol'shanskii), Hyperbolic groups and their quotients of bounded exponents. *Trans. Amer. Math. Soc.* 348 (1996) 2091--2138.

Last modified May 22, 2001