Introduction to Group Theory Math. 3-4043403
- Course Content:
|
List of Topics |
No. of Weeks |
|
Introduction and examples: Definition of a group, subgroups, examples |
1-2 |
|
Cyclic groups, generating sets and Caley Diagrams |
3-4 |
|
Permutations, groups of symmetries (triangle, rectangle, square), Co-sets, and Direct Products of groups. |
5-6 |
|
Homomorphisms between groups normal subgroups and factor groups, automorphisms of groups |
7-8 |
|
Group Action on a set (Orbit Stabilizer Theorem), fixed points, p-groups, examples |
9-11 |
|
conjugacy classes, class equations |
12-13 |
|
Sylow theorems of finite groups |
14-15 |
2- Suggested book
Book content