Instructor: Dan Abramovich
Class meeting: Mondays, Wednesdays and Fridays at 11:00-11:50am in Kassar 105
Office: Kassar 118
Telephone: (401) 863 7968
E-mail: abrmovic ( at ) math (period) brown (dot) edu
Web site: http://www.math.brown.edu/~abrmovic/MA/f1516/251/index.html
Preliminary Office hours: Monday, 2:00-3:00, Wednesday and Friday 10:00-10:50

Text: ALGEBRA by Serge Lang, 3rd rev. ed. 2002. Corr. 4th printing, 2005. ISBN: 0-387-95385-X
Topics: Groups and group actions; Categories and functors; Rings and modules; Fields and Galois theory.

Homework:
problem set 1, due: Monday Sep 21.
problem set 2: Lang Chapter 1 ex 12, 14, 28, 29, 32, 39, 41, 42, 46. due: Friday Oct 2.
problem set 3, due: Friday Oct 9.
Exposition of modules ofver a PID. due: Friday Nov 6.
problem set 4, due: Friday Nov 13.
problem set 5: Lang Chapter VI ex. 1aefhkmn, 3ac, 9, due: Friday Nov 20.
problem set 6: Lang Chapter VI ex. 17,18,19,22,35,37,44,45, due: Monday November 30.

Presentations:
Daniel Keliher's notes on the simplicity of the alternating group.
Will Kochanski's notes on the Jordan-Holder theorem.
Brad Benz's notes on the simplicity of PSL2(F).
Kavi Duvvoori's notes on the simplicity of PSLn(F).