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Lecture
Group Morphisms: Injectivity and Conjugation
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Groups & Rings: Morphisms, Kernels, and Injectivity
Explores group morphisms, kernels, and injectivity in group theory.
Group Morphisms: Conjugation and Isomorphism
Covers group morphisms, conjugation, isomorphism, and automorphism concepts.
Self-similar groups: Automorphisms of rooted trees
Covers self-similar groups and automorphisms of rooted trees, exploring residually finite groups and congruence subgroups.
Automorphism groups of trees and graphs
Explores automorphisms of graphs, focusing on automorphism groups, Cayley-Abels graphs, and quasi-isometry.
Groupes Isomorphes: Applications
Explores isomorphic groups, bijective morphisms, and their applications in group theory.
Local structure of totally disconnected locally compact groups I
Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.
Group Presentation of S3
Covers the group presentation of S3, normal subgroups, generators, relations, quotient groups, and injective homomorphisms.
Automorphism groups of trees and graphs II
Explores the uniqueness of trees, automorphism groups, Cayley-Abels graphs, and constructing vertex-transitive subgroups with prescribed local actions.