641 math Advance Group Theory

chapter 1: Groups
-semigroups, monoids and groups
-homomorphisms and subgroups
- cyclic groups
-coset and counting
- normality, quatioent groups and homomorphisms
- symmetric, alternating and dihedral groups
direct product and direct sums

chapter 2: The Structure of Groups
-free abelian groups
-finitely generated abelian groups
- The action on a group on a set
-The sylow theorems
-classification of finite groups

Textbook: Algebra by Hungerford