Lectures related to Group Homomorphisms

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

Covers the construction and universal properties of pushouts in group theory.

Delves into advanced group theory concepts such as isomorphisms and homomorphisms.

Covers Euler's totient function, group theory, homomorphisms, and group isomorphisms.

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

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

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

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

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

Covers the concept of the free product in group theory and how to determine monomorphisms and homomorphisms.