Lectures related to Recap of Group Theory

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

Explores group actions on sets through homomorphisms and Cartesian products, illustrating their properties and equivalent definitions.

Explores homomorphisms of groups, focusing on the signature sgn and the concept of cycles and transpositions.

Explores direct products in group theory, including semi-direct products and group properties.

Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.

Explores active learning implications in understanding group structures and symmetric actions.

Explores direct sums in group theory, focusing on abelian groups and their implications.

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

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