Push-out and Quotients

Related lectures (32)

Page 3 of 4

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

Introduces group theory basics and group action concepts with associated subsets.

Covers the first isomorphism theorem in group theory and its applications.

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

Delves into the second isomorphism theorem in group theory, emphasizing subgroup relationships and quotient groups.

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

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

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

Explores quotient groups, homomorphisms, isomorphisms, and push-outs in different categories.

Covers Lagrange's theorem, group homomorphisms, congruence classes, and normal subgroups.