Concept

Group isomorphism

Related lectures (28)

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

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.

Automorphism Groups: Trees and Graphs III

Explores automorphism groups of trees and graphs, including actions on trees and group homomorphisms.

Group Quotients and Push-outs

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

Schur's Lemma and Representations

Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.

Local Rings and Residues

Covers the proof of theorem 4.2 on multiplicities and the special structure of local rings at a simple point of a plane.

Finite Fields and Vector Spaces

Explores finite fields, isomorphisms, and vector spaces over finite fields.

Group Homomorphisms

Explores group homomorphisms, isomorphisms, and generators in abstract algebra.

Groupes Isomorphes: Applications

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

Group Theory: Part 2

Delves into advanced group theory concepts such as isomorphisms and homomorphisms.

Bijections Equivariantes

Explores equivariant bijections between groups of automorphisms and the compatibility with group operations.

Isomorphism: Order of Group Elements

Explores isomorphism and the order of group elements, emphasizing matching identities and inverses.

Automorphism groups of trees and graphs

Explores automorphisms of graphs, focusing on automorphism groups, Cayley-Abels graphs, and quasi-isometry.

Abelianization of Fundamental Group

Explores abelianization examples, homomorphisms, and isomorphisms in group theory.

Automorphism groups: Trees and Graphs

Explores automorphism groups in trees and graphs, focusing on ends and types of automorphisms.

Isomorphism in Aut(p)

Explores isomorphism between Aut(p) and a Galois covering through topology course notes.

Morphism of Groups

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

Commutative Groups: Foundations for Cryptography

Covers commutative groups and their significance in cryptography.

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.

Isomorphism of Groups

Covers bijections between automorphisms and equivariant bijections in group isomorphisms.