Lectures related to Free Product: Group Theory

Representation Theory: Algebras and Homomorphisms

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Group Theory: Special Cases

Covers special cases in group theory, focusing on group actions and functors.

Homotopy Identification

Delves into homotopy identification, pushout diagrams, colimits, and group fundamental calculations.

Group Theory Basics

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

Uniqueness of Amalgams

Explores the uniqueness of amalgams in group theory through examples and diagrams.

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Categorical Perspective: Group Quotients

Explores the categorical sense of constructing a group quotient by a normal subgroup, showing it as a specific example of a more general construction.

Universal Property of Groups

Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.

Morphism of Groups

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

Functors and Homomorphisms in Group Theory

Explores functors F_{Ab} and Hom (-,-) in group theory, including presentations and homomorphisms.