### Math 1530: Abstract Algebra

#### Professor Richard Kenyon Tel. 863-6406 rkenyon -at- math dot brown dot edu office: 305 Kassar Office hours: Mondays 1:30-2:30 The course TA is Zhou Fang Zhou Fang's office hours: Thu 6-8pm in SciLi 1018 Problem sessions: Mondays 5-5:50pm room: SmithB 201

Text:
I. Herstein, Topics in Algebra

Course outline: Chapters 1-5, roughly.
There will be weekly homeworks, one midterm and one final.
Your class grade will be 35% homework, 20% midterm and 45% of your final.

## No class 5/3. Review session Thursday May 5, CIT 165 10:30-11:50am

### Homeworks

Homework 1 (due Tuesday Feb. 9)
Page 8: 5,7,10
Page 16: 1,10,13
Page 23: 3,4,6

Homework 2 (due Tuesday Feb. 16)
Page 35: 2,3,7,9,10,11,24,25

Homework 3 (due Thursday Feb. 25)
Page 46: 1,3,4,6,10,13,16,27,28,32,33,37

Homework 4 (due Tuesday March 1)
Page 53: 2, 3, 4, 9, 10, 21

Homework 5 (due Tuesday March 8)
Page 64: 3,5,7,8,10,11,16,20

Homework 6 (due Tuesday March 15)
Page 70: 1,6,10, 18
Page 74: 4, 5

Homework 7 (due Tuesday April 5)
Page 80: 5, 9, 11
Page 90: 4, 9, 10
Page 102: 6, 8
Page 115: 5

Homework 8 (due Tuesday April 12)
Page 130: 4, 9, 10
Page 135: 3, 4, 5, 6, 12

Homework 9 (due Tuesday April 19)
Page 142: 1, 2, 4, 6

Homework 10 (due Tuesday April 26)
Page 149: 1, 2, 3, 4, 7, 8 (prove that [a,b](a,b)=ab up to multiplication by a unit)

Homework 11 (not to be turned in; discussed in review session Thursday 5/5)
Page 152: 3,4
Page 158: 1,2,3,7
Page 161: 3,4,5
Page 214: 2,4,5,9