Classification of Extensions

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Related lectures (31)

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Two Definitions of Group Action

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

Abelian Groups: Free Abelian Groups

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

Groups: Definitions, Properties, and Homomorphisms

Introduces the basic concepts of groups, including definitions, properties, and homomorphisms, with a focus on subgroup properties and normal subgroups.

Recap of Group Theory

Provides a recap of group theory, defining a group as a set with a multiplication operation.

Categorical Perspective: Abelian Groups

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

Direct Products in Group Theory

Explores direct products in group theory, including semi-direct products and group properties.

Group Actions: Theory and Examples

Explores concrete examples of group actions on sets, focusing on actions that do not change the set.

Morphism of Groups

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

Group Theory: Restriction Functor

Explores the restriction functor in group theory, focusing on its properties.

Group Theory Basics

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