Mathematics 5331 Abstract Algebra I Schedule/Homework
Spring 2009
Date 
Section/Topic 
Homework 
Tuesday 1/20 
§1.1 Semigroups, monoids and groups 

Thursday 1/22 
§ 1.1
Properties of Groups 

Tuesday 1/27 
UTA CLOSED  
Thursday 1/29 
§ 1.2 Homomorphisms and subgroups 

Tuesday 2/3 
§ 1.3 Cyclic groups 

Thursday 2/5 
NO CLASS 

Tuesday 2/10 
§ 1.4 Cosets and counting 

Thursday 2/12 


Tuesday 2/17 
§ 1.5 Quotient groups 

Thursday 2/19 
Test # 1 

Tuesday 2/24 
§ 1.5 Isomorphism Theorems 

Thursday 2/26 
§ 1.6 Symmetric group 

Tuesday 3/3 
§ 1.6 Alternating group. 

Thursday 3/5 
§ 1.8 Direct products. § 2.2 Finitely generated abelian groups 
Handout (Chapter 5) p. 156 # 1; p.165 # 1 a, b; 2 a, b, c 
Tuesday 3/10  § 2.2 Invariant factors. Elementary divisors 

Thursday 3/12  § 2.4 Group actions  
March 1620  Spring break  
Tuesday 3/24  § 2.4 Group actions 
Page 92 # 3, 9, 14 Handout Problems in Group Theory IIAll 
Thursday 3/26 
Test # 2 

Tuesday 3/31 
§ 2.5 Sylow's Theorems 
Problems # 1, 10, 11, 13 on page 96 
Thursday 4/2 
§ 2.5 Sylow's Theorems 
1. Show that a group of order 36 is not simple. 
Tuesday 4/7 
§ 2.6 Finite groups 
Study the proof of Proposition 6.3 and Proposition 6.4 
Thursday 4/9 
§ 2.7 Solvable groups. 
Pages 106107 # 2, 10, 14 
Tuesday 4/14  § 2.7 Nilpotent groups  
Thursday 4/16  § 3.1 Rings and homomorphisms 
HW # 9. Due Thursday 4/23 
Tuesday 4/21 
Review Test # 2 

Thursday 4/23  Test # 2  
Tuesday 4/28  § 3.2 Ideals. The Isomorphism Theorems 
Page 133 # 3, 4 
Thursday 4/30  § 3.2 Quotient rings. The Isomorphism Theorems 

Tuesday 5/5 
§ 3.2 Prime and maximal ideals 
Page 134 # 20 
Thursday 5/7 
§3.3 Factorization in commutative rings 
Page 140 # 1 
Tuesday 5/12 
Final Examination 11:00 a.m.1:30 p.m. 