Math 25700: Basic Algebra Autumn 2017
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: July 22, 2017

Lec # Date Topic(s) Sections Homework; exercises due in lecture on following Monday
Extra Reading Background Chapter 0 Read Chapter 0
1 Mon 9/25 Introduction. Shuffling. 0.1 HW1.pdf
2 Wed 9/27 The Basic Axioms. 1.1  
3 Fri 9/29 The Basic Axioms, Integers Modulo n. 1.1, 0.3  
4 Mon 10/2 Symmetric Groups I 1.3 HW2.pdf
5 Wed 10/4 Symmetric Groups II 1.3  
6 Fri 10/6 Symmetric Groups III 1.3  
Extra Reading Dihedral Groups 1.2  
7 Mon 10/9 Homomorphisms, Subgroups generated by Subsets of a Group 1.6 HW3.pdf
8 Wed 10/11 Cyclic Groups, Generators and Relations 2.3  
HT Fri 10/13 Midterm I of II    
9 Mon 10/16 Quotient Groups 3.1 HW4.pdf
10 Wed 10/18 Quotient Groups 3.1  
11 Fri 10/20 Lagrange's Theorem 3.2  
12 Mon 10/23 Alternating Group 3.5 HW5.pdf; LaTeX file: HW5.tex
13 Wed 10/25 Alternating Group II 3.5  
14 Fri 10/27 Alternating Group III
Extra Reading Centralizers, Normalizers, et. al. 3.5, 1.7, 2.2
15 Mon 10/30 Group Actions 1.7, 2.2 HW6.pdf; LaTeX file: HW6.tex
16 Wed 11/01 Permutation Representations, Cayley's Theorem 4.1, 4.2  
17 Fri 11/03 Group Actions on coset spaces    
18 Mon 11/06 Conjugacy classes, Class equation 4.3 HW7.pdf; LaTeX file: HW7.tex
19 Wed 11/08 Problem Session    
HT Fri 11/10 Midterm II of II    
20 Mon 11/13 Sylow Theorems 4.5 HW8.pdf; LaTeX file: HW8.tex
21 Wed 11/15 Sylow Theorems II 4.5  
22 Fri 11/17 Sylow Theorems III 4.5  
23 Mon 11/20 Simple Groups 3.4 HW9.pdf; LaTeX file: HW9.tex
24 Mon 11/27 Imprimitive Groups 5.5  
25 Wed 11/29 Simple Groups of Order at most 100    
Review To be determined Review session TBA  
FINAL Fri 12/8 10:30-12:30 Final Exam at some location

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