Lectures related to Automorphism group

Automorphism Groups: Trees and Graphs III

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

Automorphism groups: Trees and Graphs

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

Automorphism groups of trees and graphs

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

Group Theory Basics: Subgroups and Homomorphisms

Introduces subgroups and homomorphisms in group theory, with examples for illustration.

Groupes Isomorphes: Applications

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

Group Theory Basics

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

Bijections Equivariantes

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

Untitled

Irreducible Representations of Rotations Group

Explores irreducible representations of the rotations group and their mathematical properties.

Group Morphisms: Injectivity and Conjugation

Explores group morphisms, injectivity criteria, and conjugation concepts within groups.

Group Morphisms and Determinants

Explores group morphisms and determinants in K-vector spaces.

Fundamental Groups

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

Endomorphisms and automorphisms of totally disconnected locally compact groups III

Explores the properties of endomorphisms and automorphisms of locally compact groups, emphasizing invariance, tree representation theory, and minimal subgroups.

Endomorphisms and automorphisms of totally disconnected locally compact groups I

Covers the definitions and basic results of endomorphisms and automorphisms of totally disconnected locally compact groups.

Morphisms of Coverings

Covers the concept of morphisms of coverings and emphasizes the recognition of automorphisms.

Group Actions: G-object Notion

Explores the categorical framework for group actions, focusing on the concept of G-objects in different categories.

Group Theory: Action on a Product

Explores actions on products in group theory, including automorphism construction and preservation of products.

Groups and Products

Covers the concepts of groups, products, and homomorphisms, focusing on the hx set and group alternates.

Lie Groups: Representations and Transformations

Explores Lie groups, scalar fields, and vector spaces transformations.

Group Actions: G-objects in a Concrete Category

Explores G-objects in a concrete category and the framework for group actions.