Group Theory: Subgroups and General Group Actions

Related lectures (32)

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Covers group quotient, group actions, and functors connecting sets and G-sets.

Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.

Explores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.

Covers simplicial and cosimplicial objects in category theory with practical examples.

Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.

Explores examples of categories, morphisms, groupoids, and functors in category theory.

Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.

Covers the construction and universal properties of pushouts in group theory.

Explores the construction of G-sets and left adjoint functors in category theory.

Explores the concept of category theory, providing examples and discussing the opposite category concept.