Math 331-1: MENU: Abstract Algebra Fall 2008/2009
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: September 11, 2008

Lec # Date Topic(s) Sections Homework; exercises due in lecture on following Monday
1 Wed 9/24 Introduction. Shuffling. 0.1
2 Fri 9/26 The Basic Axioms. 1.1 1, 2, 3, 5
3 Mon 9/29 The Basic Axioms, Integers Modulo n. 1.1, 0.3 1.1: 11, 12, 17, 25, 30, 34
4 Wed 10/01 Symmetric Groups I 1.3
5 Fri 10/03 Symmetric Groups II 1.3 2, 7, 9a
6 Mon 10/06 Symmetric Groups III 1.3 12
7 Wed 10/08 Dihedral Groups 1.2 1b, 5, 9
8 Fri 10/10 Homomorphisms 1.6 2, 4, 8, 14, 17
9 Mon 10/13 Subgroups, Cyclic Groups 2.1, 2.3 2.1: 4, 6, 2.3:
10 Wed 10/15 Subgroups generated by Subsets of a Group 2.4  
11 Fri 10/17 Subgroups generated by Subsets of a Group 2.4 6,7,8,11 (also 1.4: 1,7), 14(d)
12 Mon 10/20 Quotient Groups 3.1 3, 9
13 Wed 10/22 Quotient Groups 3.1 22, 24, 26,42
No Class Fri 10/24      
15 Mon 10/27 Lagrange's Theorem 3.2 8, 14, 15
16 Wed 10/29 Isomorphism theorems 3.3 3, 8
17 Fri 10/31 Isomorphism theorems II 3.3 Study for Midterm
HT Mon 11/03 Hour Test  
18 Wed 11/05 Alternating Groups 3.5 2, 12
19 Fri 11/07 Alternating Groups II, Group Actions, Centralizers 3.5, 1.7, 2.2 1.7: 4, 14-16, 2.2:4, for S_3
20 Mon 11/10 Group Actions, Centralizers et. al. 1.7, 2.2  
21 Wed 11/12 Permutation Representations, Cayley's Theorem 4.1, 4.2 4.1: 2, 3 4.2: 8, 9
22 Fri 11/14 Group Actions on coset spaces    
23 Mon 11/17 Conjugacy classes, Class equation 4.3 2c, 7, 10, 22
24 Wed 11/19 Sylow Theorems 4.5  
25 Fri 11/21 Sylow Theorems II 4.5 6, 7, 8, 33, 34
26 Mon 11/24 Sylow Theorems III, The Finite Simple Groups 4.5  
Review To be determined Review session in Lunt 104  
FINAL Fri 12/12     9-11 am Final Exam at some location

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