Two Definitions of Group Action

Related lectures (31)

Page 3 of 4

Explores two definitions of group action and their equivalence through bijection in group homomorphisms.

Explores abelian groups from a categorical perspective, discussing the coproduct construction.

Covers the concept of amalgams, defining pushouts and quotient groups in group theory.

Explores homomorphisms, isomorphisms, group properties, and their applications through examples and exercises.

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

Explores homomorphisms of groups, focusing on the signature sgn and the concept of cycles and transpositions.

Explores the uniqueness of amalgams in group theory through examples and diagrams.

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

Delves into push-out and quotients in group theory, emphasizing homomorphisms and normal subgroups.

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.