Lectures related to Group Homomorphisms

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

Covers group morphisms, conjugation, isomorphism, and automorphism concepts.

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

Explores ring homomorphisms, bilateral ideals, ring features, and ideal operations.

Explores abelianization examples, homomorphisms, and isomorphisms in group theory.

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

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

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Generalizes group actions beyond sets, providing a comprehensive framework for various mathematical contexts.