Provides a recap of group theory, defining a group as a set with a multiplication operation.
Explores group actions on sets through homomorphisms and Cartesian products, illustrating their properties and equivalent definitions.
Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Delves into push-out and quotients in group theory, emphasizing homomorphisms and normal subgroups.
