Math 551, Fall 2002
Math 551 will be the first semester of the standard introductory algebra course, covering group theory, factorization in commutative rings, modules over a PID, and related topics. The textbook is Serge Lang's Algebra (revised third edition). Notices and assignments will appear on this page.
Instructor: Richard Lyons. Office hours: Friday 11:10-12:30 in Hill 236, or by appointment.
Assignment 1, due 9/18 (.dvi) (.pdf)
Assignment 2, due 10/2 (.dvi) (.pdf)
Assignment 3, due 10/16 (.dvi) (.pdf)
Assignment 4, due 10/25 (.dvi) (.pdf)
Assignment 5, due 11/6 (.dvi) (.pdf) NOTE! This has been extended till 11/6, one problem has been added, and problem 6 has been corrected.
Assignment 6, due 11/20 (.dvi) (.pdf) Note! Extended to 11/20.
Assignment 7, due 12/2 in my mailbox (.dvi) (.pdf)
The following lecture notes may be helpful, though they do not exactly transcribe the lectures; there are extra items, omissions, and (beware!) surely some mistakes. Thanks to all who have found and corrected errors.
- Rudimentary group theory (.dvi) (.pdf)
- Group actions; Sylow's Theorem; Symmetric groups (.dvi) (.pdf)
- Noether isomorphism theorems, normal series, solvable groups, simple groups (.dvi) (.pdf)
- Free groups; presentations (.dvi) (.pdf)
- Direct products; abelian groups and modules over PID's (.dvi) (.pdf)
The final exam will be given on Monday, Dec. 16 from 12:30 to 3:30 in Hill 705.