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Lecture
Group Theory: Group Actions on Products
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Groupes résolubles
Explores solvable groups, group actions, normalizers, and stabilizers in group theory.
Automorphism groups of trees and graphs
Explores automorphisms of graphs, focusing on automorphism groups, Cayley-Abels graphs, and quasi-isometry.
Group Theory: Action on a Product
Explores actions on products in group theory, including automorphism construction and preservation of products.
Automorphism Groups: Trees and Graphs III
Explores automorphism groups of trees and graphs, including actions on trees and group homomorphisms.
Group Theory Basics
Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Group Theory Basics: Subgroups and Homomorphisms
Introduces subgroups and homomorphisms in group theory, with examples for illustration.
Group Actions: G-objects in a Concrete Category
Explores G-objects in a concrete category and the framework for group actions.
Properties of Sylow Subgroups
Covers the second and third properties of p-Sylow subgroups and their automorphisms.
Groupes Isomorphes: Applications
Explores isomorphic groups, bijective morphisms, and their applications in group theory.
Group Morphisms and Determinants
Explores group morphisms and determinants in K-vector spaces.