Recap of Group TheoryProvides a recap of group theory, defining a group as a set with a multiplication operation.
Classification of ExtensionsExplores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Group CohomologyCovers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Cartesian ProductCovers the concept of the Cartesian product, emphasizing the order of elements in pairs.
Group Theory - Part 2Explores Cayley tables, group operations, homomorphisms, Lie groups, and differentiable groups.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.