Lectures related to Isomorphism of Groups

Bijections Equivariantes

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

RSA Encryption: Main Concepts

Covers the main concepts behind RSA encryption and examples of homomorphisms between cyclic groups.

Group Morphisms: Injectivity and Conjugation

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

Morphism of Groups

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

Fundamental Groups

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

Isomorphism in Categories

Covers the concept of isomorphism in categories, defining morphisms with inverses and exploring automorphisms and groupoids.

Automorphism Groups: Trees and Graphs III

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

Linear Applications: Definitions and Properties

Explores the definition and properties of linear applications, focusing on injectivity, surjectivity, kernel, and image, with a specific emphasis on matrices.

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.

Algebraic Structures of Morphism Spaces

Explores algebraic structures of morphism spaces, including stability properties and injective ring homomorphisms.

Group Homomorphisms

Explores group homomorphisms, Euler's phi function, and group products.

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.

Automorphism groups: Trees and Graphs

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

Galois Correspondence

Covers the Galois correspondence, establishing a bijection between certain classes of groups and coverings.

Schur's Lemma and Representations

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

Group Morphisms: Conjugation and Isomorphism

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

Group Theory Basics: Subgroups and Homomorphisms

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

Automorphisms of Projective Varieties

Explores automorphisms of projective varieties, discussing isomorphism between complements and key observations on dimensions and examples.

Local structure of totally disconnected locally compact groups III

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.