MT816 Fall 2004
Homework Assignments (from Topics in Algebra, by I. N.
Herstein, Second Edition)
Due Date 

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,...,n1) 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 