Categorical Perspective: Group Quotients

Related lectures (32)

Page 3 of 4

Explores group morphisms, kernels, and injectivity in group theory.

Covers the concepts of groups, products, and homomorphisms, focusing on the hx set and group alternates.

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

Explores the isomorphism theorems for quotient groups and the concept of surjective homomorphisms.

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

Provides a recap of group theory, defining a group as a set with a multiplication operation.

Explores group homomorphisms, constructing isomorphisms between groups using generators and relations.

Covers the group presentation of S3, normal subgroups, generators, relations, quotient groups, and injective homomorphisms.

Covers explicit calculations of push-outs in Ens and the study of induced homomorphisms between quotient groups.

Covers homomorphisms between affine varieties, birational maps, regular groups, and connectedness.