Lectures related to Push-out and Quotients

Explores examples of group actions on sets, emphasizing the utility of group actions to understand groups.

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

Introduces normal subgroups, group quotients, and their applications in group theory.

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

Explores group homomorphisms, emphasizing surjective mappings and their impact on group questions.

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

Explores Lagrange's theorem applications in group theory and arithmetic, focusing on subgroups, cosets, quotient groups, and homomorphisms.

Discusses the theory of free groups, their properties, and relationships with other algebraic structures.

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