Math 331-1: MENU: Abstract Algebra Fall 2007/2008
All reading and homework is from Dummit and Foote. The information below is extremely preliminary, so make a point to check the assignment problems are up to date before completing them!

The listed exercises should be handed in on the first Monday following the date they are listed unless otherwise indicated.

Assignments   Last updated: August 29, 2007

Lec # Date Topic(s) Sections Homework; exercises due in lecture on following Monday
1 Wed 9/26 Introduction 1.1 1-3,5
2 Fri 9/28 Basics 0.1 2, 5, 7
3 Mon 10/01 Properties of the Integers 0.2  
4 Wed 10/03 Integers mod n 0.3 9, 12-14
5 Fri 10/05 Dihedral groups 1.2 1b
7 Mon 10/08 Symmetric groups 1.3 1, 8, 9b
8 Wed 10/10 Symmetric groups 1.3 1, 8, 9b
9 Fri 10/12 Symmetric groups 1.3  
10 Mon 10/15 Basic axioms 1.1 16, 25-27, 30
11 Wed 10/17 Basic axioms 1.1 19, 32, 34
12 Fri 10/19 Homomorphisms 1.6 2, 8, 14
13 Mon 10/22 Homomorphisms 1.6 2, 8, 14
  Wed 10/24 NO CLASS  
  Fri 10/26 NO CLASS  
14 Mon 10/29 Subgroups generated ... 2.4 14
15 Wed 10/31 Quotient groups 3.1 8, 9
16 Fri 11/02 Quotient groups 3.1 14ab, 22, 26, 42
17 Mon 11/05 Lagrange's theorem 3.2 6, 8, 12, 16, 22, 23
18 Wed 11/07 Lagrange's theorem 3.2 6, 8, 12, 16, 22, 23
due on Monday, 10/30
HT Fri 11/09 Hour Test  
19 Mon 11/12 Lagrange's theorem 3.2 6, 8, 12, 16, 22, 23
20 Wed 11/14 Isomorphism theorems 3.3 3
21 Fri 11/16 Alternating groups 3.5  
22 Mon 11/19 Alternating groups 3.5  
23 Wed 11/21 Alternating groups 3.5 2, 12
24 Mon 11/26 Group actions
Centralizers et. al.
1.7
2.2
4b, 14-16
7a
25 Wed 11/28 Permutation representations
Cayley's theorem
4.1
4.2
1
8, 9
26 Fri 11/30 Permutation representations
Cayley's theorem
4.1
4.2
1
8, 9
  Thu 11/23 - Tue 11/28 Thanksgiving Break & Reading Period - NO LECTURES
Review To be determined Review session in Lunt 104  
FINAL Wed 12/12     9-11 am Final Exam Final examination in Tech M164

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Copyright © 1999 - 2006 Michael R. Stein