## 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