Introduction to Abstract Group Theory

COURSE LAYOUT

Week 1  :  Motivation, definition, examples and basic properties
Week 2  :   Subgroups, subgroups of integers, homomorphisms
Week 3  : Quotient groups, isomorphism theorems
Week 4  :  Group operations, counting formula 
Week 5  :  Symmetric groups 
Week 6  :  Operations of a group on itself, class equation
Week 7  :  Sylow theorems I
Week 8  :  Sylow theorems II