MATH 463

Introduction to Group Theory

2010-2011 Fall Semester Syllabus

Week 1

Basics

Week 2

Group Actions and Permutation Representations

Week 3

Week 4

Cauchy’s Theorem, Sylow Theorems and their applications

Week 5

Week 6

The Jordan-Hölder Theorem

Week 7

Direct Products, Semidirect Products

Week 8

Week 9

Solvable Groups

Week 10

Finite Solvable Groups

Week 11

Week 12

Nilpotent Groups

Week 13

Finite Nilpotent Groups

Week 14

Matrix Groups

Week 15

 

GAP Sessions

Session No

Week

1

2

2

5

3

8

4

11

5

14