Group Theory: Part 2Delves into advanced group theory concepts such as isomorphisms and homomorphisms.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Group Theory BasicsIntroduces the basics of group theory, covering definitions, examples, subgroups, 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.