University of Illinois at Urbana-ChampaignDepartment of Mathematics
Academic Programs People Research Areas Publications Courses Seminars and Conferences Positions Search

Math 427: Honors Abstract Algebra

Text: I. N. Herstein, Abstract Algebra, Prentice-Hall, 3d Ed, 1996

Chapter 1: Things Familiar (2 hours)
Chapter 2: Groups (consider inclusion of group actions and proofs of all three Sylow theorems; 14 hours)
Chapter 3: Symmetric Group (consider proving the simplicity of alternating groups; 3 hours)
Chapter 4: Ring Theory (8 hours)
Chapter 5: Fields (9 hours)
Chapter 6: Special Topics (3 hours)

Leeway and Exams (4 hours)


Department of Mathematics
273 Altgeld Hall, MC-382
1409 W. Green Street, Urbana, IL 61801 USA
Telephone: (217) 333-3350    Fax: (217) 333-9576     Email: office@math.uiuc.edu