### 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%.

## Final May 16, 2pm-5pm Foxboro. No books or notes.

### 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

**Homework 6** due Tuesday Apr 11 in class

homework 6

**Homework 7** due Tuesday Apr 18 in class

homework 7

**Homework 8** due Tuesday Apr 25 in class

In Fulton and Harris: 1.11, 1.12, 2.2, 2.4, 2.7