Groupes Isomorphes: Applications

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Related lectures (30)

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Applications of Lagrange's Theorem

Explores the applications of Lagrange's theorem in algebra, covering corollaries, cyclic groups, and quotient groups.

Group Repetition Theory: Character Representations

Explores character representations in group repetition theory, discussing irreducibility, equivalence, and associated values.

Isomorphism of Groups

Covers bijections between automorphisms and equivariant bijections in group isomorphisms.

Proper Actions and Quotients

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

Group Morphisms: Injectivity and Conjugation

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

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.

Isomorphism in Categories

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

Group Theory: Group Actions on Products

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

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.