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