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Related lectures (31)

Page 3 of 4

Local structure of totally disconnected locally compact groups I

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Group Actions: Examples and Applications

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

Group Morphisms: Conjugation and Isomorphism

Covers group morphisms, conjugation, isomorphism, and automorphism concepts.

Morphism of Groups

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

Quotient Groups and Homomorphisms

Covers explicit calculations of push-outs in Ens and the study of induced homomorphisms between quotient groups.

Cohomology: Cross Product

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

Quotients in Abelian Groups

Covers quotients in abelian groups and the concept of free abelian groups, showing that every abelian group is isomorphic to a quotient of a free abelian group.

Group Cohomology

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

Covers self-similar groups and automorphisms of rooted trees, exploring residually finite groups and congruence subgroups.

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