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Related lectures (29)

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Homotopical Algebra

Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.

Group Theory: Isomorphism and Semi-Direct Product

Covers group theory concepts like isomorphism and semi-direct product through examples and proofs.

Isomorphism Theorems: Third Isomorphism Theorem

Explores the third isomorphism theorem in group theory, focusing on quotient groups and a categorical perspective.

Group Quotients and Push-outs

Explores group quotients and push-outs, discussing isomorphisms and surjectivity in different scenarios.

Groupes Isomorphes: Applications

Explores isomorphic groups, bijective morphisms, and their applications in group theory.

Algebraic Structures: Small Order Groups

Explores small order groups, group morphisms, and the second isomorphism theorem.

Introduction to Group Theory: Motivation

Introduces adjunctions in Group Theory with examples of natural transformations and isomorphisms.

Isomorphism Criterion of Coverings

Covers the isomorphism of coverings and the lifting theory.

Local structure of totally disconnected locally compact groups II

Explores the local structure of totally disconnected locally compact groups, covering commensurated subgroups, completions, local automorphisms, and the quasi-centre.