## Math 3140

Abstract algebra I

MWF 2pm

ECCR 139

### Book

M.A. Armstrong, Groups and Symmetry.

## Instructor

Math 309

303.492.7628

thiemn AT the university's state DOT edu

### Office hours

M 1-2, 3-4; F 12-1; or by appointment

## Tentative schedule

**08.25–08.29;**symmetry and the basic axioms (chapters 1-2)**09.03–09.05;**examples and relations (chapters 3-4); homework 1 due**09.08–09.12;**generators and the symmetric group (chapters 5-6); homework 2 due**09.15–09.19;**symmetric group and isomorphisms (chapters 6-7); homework 3 due**09.22–09.26;**Cayley's theorem and products (chapters 8,10); homework 4 due**09.29–10.03;**Cayley's theorem (chapter 8); homework 5 due; midterm 1**10.06–10.10;**Rings and matrix groups (chapter 9); project 1 due**10.13–10.17;**Lagrange's theorem, partitions and conjugacy (chapters 11-12,14); homework 6 due**10.20–10.24;**conjugacy, Cauchy's theorem, and homomorphisms (chapters 13,14,16); homework 7 due; computer slides**10.27–10.31;**homomorphisms and quotients groups (chapters 15-16); homework 8 due**11.03–11.07;**isomorphism theorems (chapter 16); homework 9 due**11.10–11.14;**group actions (chapters 17-18); homework 10 due; project 2 due**11.17–11.21;**group actions (chapters 17-18); homework 11 due; midterm 2**12.01–12.05;**Sylow theory (chapter 20)**12.08–12.12;**Applications and review; homework 12 due; project 3 due**Final;**December 17, 19:30-22:00