## Group actions

An introduction to the theory of group actions, covering examples, various counting principles, and Sylow’s theorems.

An introduction to the theory of group actions, covering examples, various counting principles, and Sylow’s theorems.

An overview of generators and relations, followed by a discussion on constructing structure-preserving extensions of maps on generating sets of groups.

An introduction to commutative diagrams, a compact language for describing algebraic objects and structure-preserving maps between them.