## 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