641 math Advance Group Theory

Content:

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