Homomorphisms and Isomorphisms

Related lectures (32)

Page 3 of 4

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

Explores the third isomorphism theorem in group theory, focusing on quotient groups and a categorical perspective.

Explores subrepresentations of the regular representation in group theory, emphasizing properties and isomorphism between subrepresentations.

Introduces subgroups and homomorphisms in group theory, with examples for illustration.

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

Covers special cases in group theory, focusing on group actions and functors.

Explores the concept of direct sums in abelian groups, emphasizing the universal property and 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.

Explores free abelian groups, homomorphisms, and exact sequences in group theory.