Math 331-1: MENU: Abstract Algebra Fall 2011/2012
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 08, 2011

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Lec # Date Topic(s) Sections Homework; exercises due in lecture on following Monday
1 Fri 9/28 Introduction. Shuffling. 0.1 Read Through Chapter 0
Mon 10/1 No Class
2 Wed 10/3 The Basic Axioms. 1.1 5, 6, 7
3 Fri 10/5 The Basic Axioms, Integers Modulo n. 1.1, 0.3 1.1: 11, 12, 17, 25, 30, 34
4 Mon 10/8 Symmetric Groups I 1.3
5 Wed 10/10 Symmetric Groups II 1.3 1, 2, 7, 9a
6 Fri 10/12 Symmetric Groups III 1.3 12, 16
7 Mon 10/15 Dihedral Groups 1.2 1b, 5, 9
8 Wed 10/17 Homomorphisms 1.6 2, 4, 8, 14, 17
9 Fri 10/19 Subgroups, Cyclic Groups 2.1, 2.3 2.1: 4, 6, 2.3, Extra Problem.
10 Mon 10/22 Subgroups generated by Subsets of a Group 2.4
11 Wen 10/24 Subgroups generated by Subsets of a Group 2.4 6,7,8,11 (also 1.4: 1,7), 14(d)
12 Fri 10/26 Quotient Groups 3.1 3, 9
13 Mon 10/29 Quotient Groups 3.1 22, 24, 26,42
14 Wed 10/31 Lagrange's Theorem 3.2 8, 14, 15
HT Fri 11/02 Midterm
The schedule beyond this date is very approximate
15 Mon 11/5 Alternating Group 3.5 3.3: 3, 8
16 Wed 11/7 Alternating Group II3.5 2,12
17 Fri 11/9 Group Actions 1.7, 2.2 1.7: 4, 14-16, 2.2:4, for S_3
18 Mon 11/12 Centralizers, Normalizers, et. al. 3.5, 1.7, 2.2
19 Wed 11/14 Centralizers, Normalizers, et. al. 1.7, 2.2
20 Fri 11/16 Permutation Representations, Cayley's Theorem 4.1, 4.2 4.1: 2, 3 4.2: 8, 9
21 Mon 11/19 Group Actions on coset spaces   Extra Problem.
22 Mon 11/26 Conjugacy classes, Class equation 4.3 2c, 7, 10, 22
23 Wed 11/28 Sylow Theorems 4.5
24 Fri 11/30 Sylow Theorems II 4.5 6, 7, 8, 19, 21, 33, 34
25 Mon 12/3 Sylow Theorems III, The Finite Simple Groups 4.5
Review To be determined Review session in Lunt 104
FINAL Wen 12/12 ?     3-5 pm Final Exam at some location

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