Class Equation and Burnside's Lemma

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Class Equation and Burnside's Lemma

Explores the class equation and Burnside's lemma in group theory.

Group Theory Fundamentals

Introduces group theory basics and group action concepts with associated subsets.

Classification of Extensions

Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.

Two Definitions of Group Action

Explores two definitions of group action on a set, focusing on properties and applications.

Group Actions: Theory and Examples

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

Group Theory Basics: Subgroups and Homomorphisms

Introduces subgroups and homomorphisms in group theory, with examples for illustration.

Recap of Group Theory

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

Group Theory: Special Cases

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

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.

Group Theory Basics

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