Lectures related to Group Theory Fundamentals

Covers normal subgroups, quotient groups, homomorphisms, and the categorical viewpoint in group theory.

Covers the class equation in group theory and Burnside's Lemma, relating orbits and fixed points.

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

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

Explores the class equation and Burnside's lemma in group theory.

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

Covers group theory fundamentals, motivations for studying group actions, equivalent definitions, and subsets associated with group actions.

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

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