Introduction to Abstract Group Theory

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