Lectures related to Groupes résolubles

Group Theory Basics

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

Automorphism Groups: Trees and Graphs III

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

Automorphism groups of trees and graphs

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

Proper Actions and Quotients

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Active Learning: Group Structures and Symmetric Actions

Explores active learning implications in understanding group structures and symmetric actions.

Group Theory Basics: Subgroups and Homomorphisms

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

Group Theory: Group Actions on Products

Covers defining group actions on products and constructing automorphisms in group theory.

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

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Properties of Sylow Subgroups

Covers the second and third properties of p-Sylow subgroups and their automorphisms.

Group Theory: Action on a Product

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

Local structure of totally disconnected locally compact groups III

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

Groupes Isomorphes: Applications

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

Endomorphisms and automorphisms of totally disconnected locally compact groups

Explores endomorphisms and automorphisms of totally disconnected locally compact groups, emphasizing the properties of flat groups and free abelian subgroups.

Basic Notions, Ch III: Group Actions

Explores group actions on sets, orbits, fixed points, and classic results.

Local structure of totally disconnected locally compact groups I

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

Group Theory in Physics

Covers the fundamentals of group theory in physics, focusing on symmetries and transformations leaving physical equations unchanged.

Group Morphisms and Determinants

Explores group morphisms and determinants in K-vector spaces.

Group Theory Basics

Covers the fundamental concepts of group theory and examples of real numbers and permutations.

Group Actions: G-objects in a Concrete Category

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