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: November 21, 2007

Lec # Date Topic(s) Sections Homework; exercises due in lecture on following Monday
1 Wed 9/26 Introduction. Symmetries of the square. 1.1 1-3,5
2 Fri 9/28 Basics. Sets, Notation, Maps, Equivalence Relations 0.1 1, 2, 3, 5, Week I challenge
3 Mon 10/01 The Integers Modulo n 0.3 9, 11, 12, 14
4 Wed 10/03 Basic Axioms 1.1 17, 25, 30, 34
5 Fri 10/05 Dihedral Groups 1.2 1b, 14, Week II challenge
6 Mon 10/08 Symmetric Groups I 1.3 1, 8, 9a, Week III(a) challenge
7 Wed 10/10 Symmetric Groups II 1.3 Week III(b) challenge
8 Fri 10/12 Symmetric Groups III 1.3  
9 Mon 10/15 Homomorphisms 1.6 2, 4, 8, 14, 17
10 Wed 10/17 Subgroups, Cyclic Groups 2.1, 2.3 2.1: 4, 6, 2.3: Week IV challenge
11 Fri 10/19 Subgroups generated by Subsets of a Group 2.4  
12 Mon 10/22 Subgroups generated by Subsets of a Group 2.4 6,7,8,11 (also 1.4: 1,7), 14(d), and, for this week only, the following is compulsory: Week IV challenge
  Wed 10/24 NO CLASS  
  Fri 10/26 NO CLASS  
13 Mon 10/29 Quotient Groups 3.1 3, 9
14 Wed 10/31 Quotient Groups 3.1 22, 24, 26, 42
15 Fri 11/02 Lagrange's Theorem 3.2 8, 14, 15
16 Mon 11/05 Isomorphism theorems 3.3 3, 8
17 Wed 11/07 Alternating Groups 3.5 2, 12
HT Fri 11/09 Hour Test  
18 Mon 11/12 Group Actions, Centralizers et. al. 1.7, 2.2 1.7: 4, 14-16, 2.2:4, for S_3
19 Wed 11/14 Permutation Representations, Cayley's Theorem 4.1, 4.2 4.1: 2, 3 4.2: 8, 9, Week VII challenge
20 Fri 11/16 Group Actions on coset spaces    
21 Mon 11/19 Conjugacy classes, Class equation 4.3 2c, 7, 10, 22 This homework due Tuesday Nov 27
22 Wed 11/21 Class Discussion    
  Fri 11/23 NO CLASS --- THANKSGIVING Turkey challenge
23 Mon 11/26 Sylow Theorems 4.5 6, 7, 8, 33, 34 This homework due Monday Dec 3 at 5:00 in Justin's Mailbox
24 Wed 11/28 Sylow Theorems 4.5  
25 Fri 11/30 The Finite Simple Groups 3.4 Week IX challenge
Review To be determined Review session in Lunt 104  
FINAL Wed 12/12     9-11 am Final Exam at some location

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