MT816 Fall 2004

Homework Assignments (from Topics in Algebra, by I. N. Herstein, Second Edition)


Assignment Number

Due Date

Problems Assigned
Assignment 1

Wed., Sept. 15

1.1 # 4a, 6, 7, 10, 12, 13.

Also:  prove by induction that
(1x1) +...+ (nxn)=n(n+1)(2n+1)/6.

1.2 # 1,4,8,9,10,13
Assignment 2

Fri., Sept. 24
1.3 # 2, 8, 11, 13

2.3 # 1,2,3,6,7,8,10,11,14
Assignment 3

Fri., Oct. 1
2.5 # 1, 3,4,5,6,7,8,15,27,28

Note:  in 3, assume o(G)>1.
Assignment 4

Friday, October 15
2.6 # 2,3,4,5,6,9,12,17 (typo in book:  i=0,1, j=0,1,2,...,n-1)

2.7  1,2
Assignment 5

Friday, October 22
2.7 # 3,4,5,8,9,10,12

2.8 # 1,4,6,10,11
Assignment 6

Monday, November 1
2.9 # 1 (prove lambda_g º lambda_h
=lambda_{gh}), 5,6,7,8

2.10 # 2,3,7,8,9,11
Assignment 7

Wednesday, November 10
2.11 # 3,4,8,9,10,11,18

2.12 # 6, 7, 10
Assignment 8

Wednesday, December 8
2.13 #6,7,18

2.14 #5 (page 115, not page 116)

3.2 #2,4,6,7,8,10,12


Last Revised:  November 23, 2004.