Math 3140
Abstract algebra I
MWF 11am
ECCR 131
Book
M.A. Armstrong, Groups and Symmetry.
Instructor
Math 309
303.492.7628
thiemn AT the university's state DOT edu
Office hours
M 2-4 and F 12-1; or by appointment
Tentative schedule
08.26–08.30; symmetry and the basic axioms (chapters 1-2)
09.04–09.06; examples and relations (chapters 3-4); homework 1 due
09.09–09.13; generators and the symmetric group (chapters 5-6); homework 2 due
09.16–09.20; symmetric group and isomorphisms (chapters 6-7); homework 3 due
09.23–09.27; Cayley's theorem and products (chapters 8,10); homework 4 due
09.30–10.04; Cayley's theorem (chapter 8); homework 5 due; midterm 1
10.07–10.11; Rings and matrix groups (chapter 9);
10.14–10.18; Lagrange's theorem, partitions and conjugacy (chapters 11-12,14); homework 6 due
10.21–10.25; conjugacy, Cauchy's theorem, and homomorphisms (chapters 13,14,16); homework 7 due
10.28–11.01; homomorphisms and quotients groups (chapters 15-16); homework 8 due
11.04–11.08; isomorphism theorems (chapter 16); homework 9 due
11.11–11.15; group actions (chapters 17-18); homework 10 due
11.18–11.22; group actions (chapters 17-18); homework 11 due; midterm 2
12.02–12.06; Sylow theory (chapter 20);
12.09–12.13; Applications and review; homework 12 due;
Final; December 15, 13:30-16:00