Math 1540: Topics in Abstract Algebra


Professor Richard Kenyon
Tel. 863-6406
rkenyon -at- math dot brown dot edu
office: Kassar 305
Office hours: Mondays 1:30-2:30pm

Text: I. Herstein, Topics in Algebra

Text: Fulton and Harris, Representation Theory: A first course

Course outline: Topics include Galois theory, finite fields, representation theory of finite groups.

There will be homeworks collected weekly and one midterm.
The final grade will be weighted as follows: Homework 35%, midterm 20%, final 45%.


Midterm March 14 in class. No books or notes. (In case of snow closure, midterm will be March 16 in class)


Homework:

Late homework will not be accepted. The lowest homework grade will be dropped.
It is expected that your homework should involve up to 10 hours of work per week. If you are spending considerably more time than this, let me know.

Homework 1 due Tuesday Feb 7 in class
Page 215: 4, 5, 9, 10, 11, 15

Homework 2 due Tuesday Feb 14 in class
Page 227: 6, 7 ,10a,b, 11, 12, 13

Homework 3 due Thursday Feb 23 in class
Page 232: 9,11,12,13
Page 116-117: 10,13,14(these are exercises on solvable groups)

Homework 4 due Tuesday Mar 7 in class
Page 236: 7, 8
Page 249: 7, 8, 9, 12, 13, 14(for 14d, you may use the fact that a sum and product of algebraic integers is an algebraic integer.)

Homework 5 due Tuesday Apr 4 in class
Page 256: 2,6
Page 259: 5,6
Page 360: 1,2,3