Class Equation and Burnside's Lemma

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Explores group actions on sets, orbits, fixed points, and classic results.

Explores group actions, fixed points, orbits, Equation of Class, and Burnside's Lemma.

Explores examples of group actions on sets, emphasizing the utility of group actions to understand groups.

Covers the class equation in group theory and Burnside's Lemma, relating orbits and fixed points.

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

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

Covers fixed points, orbits, and stabilizer subgroups in group actions.

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

Explores the definition of orbits and fixed points of a G-object in any category, focusing on G-equivariant applications.

Explores subsets, subgroups, actions, fixed points, stabilizers, orbits, and bijections in group theory.