This note covers Notation
for sets and functions, Basic group theory, The symmetric group, Group actions,
Linear groups, Affine groups, Projective groups, Abelian groups, Finite linear
groups, Sylow theorems and applications, Solvable and nilpotent groups, p
groups, a second look, Presentations of groups, Building new groups from old.
This note explains the following
topics: Simple groups, Examples of groups, Group actions, Sylow’s Theorem, Group
extensions, Soluble and nilpotent groups, Symmetric and alternating groups,
Linear groups.