Universal Property of Groups

Related lectures (30)

Page 3 of 3

Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.

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

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

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

Covers normal subgroups, quotient groups, homomorphisms, and the categorical viewpoint in group theory.

Explores examples of group actions on sets, emphasizing the utility of group actions to understand groups.

Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.

Introduces normal subgroups, group quotients, and their applications in group theory.

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

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