Classification of ExtensionsExplores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Group CohomologyCovers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Group HomomorphismsExplores group homomorphisms, constructing isomorphisms between groups using generators and relations.
Push-out and QuotientsDelves into push-out and quotients in group theory, emphasizing homomorphisms and normal subgroups.
