# Syllabus

Week |
Topic |
|||||

1 |
Groups, Subgroups, Cyclic Groups, Generators | |||||

2 |
Group of Permutations, Orbits,Cycles and Alternating Groups | |||||

3 |
Cosets and Lagrange Theorem | |||||

4 |
Direct Products and Finitely Generated Abelian Groups | |||||

5 |
Homomorphisms | |||||

6 |
Isomorphisms and Cayley's Theorem | |||||

7 |
Factor Groups | |||||

8 |
Factor Groups and Simple Groups | |||||

9 |
Group Action on a Set | |||||

10 |
Continuation to Group Action | |||||

11 |
Isomorphism Theorems | |||||

12 |
Sylow Theorems | |||||

13 |
Continuation to Sylow Theorems | |||||

14 |
Review |