Direct Sums: Abelian GroupsExplores the concept of direct sums in abelian groups, emphasizing the universal property and homomorphisms.
Group CohomologyCovers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Classification of ExtensionsExplores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Recap of Group TheoryProvides a recap of group theory, defining a group as a set with a multiplication operation.
Push-out and QuotientsDelves into push-out and quotients in group theory, emphasizing homomorphisms and normal subgroups.