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.
Group Actions on SetsExplores group actions on sets through homomorphisms and Cartesian products, illustrating their properties and equivalent definitions.
Recap of Group TheoryProvides a recap of group theory, defining a group as a set with a multiplication operation.
Concrete CategoriesCovers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.