Lectures related to Motivations for studying group actions

Hom Functor: Abelian Groups

Explores the Hom functor for abelian groups and its relation to direct sums.

Categorical Perspective: Abelian Groups

Explores abelian groups from a categorical perspective, discussing the coproduct construction.

Abelian Groups: Free Abelian Groups

Explores free abelian groups, homomorphisms, and exact sequences in group theory.

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Two Definitions of Group Action

Explores two definitions of group action and their equivalence through bijection in group homomorphisms.

Active Learning: Group Homomorphisms

Explores group homomorphisms, emphasizing surjective mappings and their impact on group questions.

Morphism of Groups

Covers the concept of morphism of groups, actions on sets, and automorphisms.

Amalgams: Group Pushouts

Covers the concept of amalgams, defining pushouts and quotient groups in group theory.

Adjoints of Restriction Functor

Covers the adjoints of the restriction functor in group theory.

Local structure of totally disconnected locally compact groups II

Explores the local structure of totally disconnected locally compact groups, covering commensurated subgroups, completions, local automorphisms, and the quasi-centre.