Math 3140
Abstract algebra I
MWF 2pm
ECCR 116
Book
M.A. Armstrong, Groups and Symmetry.
Instructor
Math 309
303.492.7628
thiemn AT the university's state DOT edu
Office hours
M 10 - 12, F 1-2; or by appointment
Tentative schedule
08.28–09.01; symmetry and the basic axioms (chapters 1-2)
09.06–09.08; examples and relations (chapters 3-4); homework 1 due
09.11–09.15; generators and the symmetric group (chapters 5-6); homework 2 due
09.18–09.22; symmetric group and isomorphisms (chapters 6-7); homework 3 due
09.25–09.29; Cayley's theorem and products (chapters 8,10); homework 4 due
10.02–10.06; Cayley's theorem (chapter 8); homework 5 due; midterm 1
10.09–10.13; Rings and matrix groups (chapter 9); project 1 due
10.16–10.20; Lagrange's theorem, partitions and conjugacy (chapters 11-12,14); homework 6 due
10.23–10.27; conjugacy, Cauchy's theorem, and homomorphisms (chapters 13,14,16); homework 7 due
10.30–11.03; homomorphisms and quotients groups (chapters 15-16); homework 8 due
11.06–11.10; isomorphism theorems (chapter 16); homework 9 due; project 2 due
11.13–11.17; group actions (chapters 17-18); homework 10 due
11.27–12.01; group actions (chapters 17-18); homework 11 due
12.04–12.08; Sylow theory (chapter 20); homework 12 due; midterm 2
12.11–12.15; Applications and review; project 3 due
Final; December 20, 13:30-16:00