Classification of ExtensionsExplores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Galois CorrespondenceCovers the Galois correspondence, establishing a bijection between certain classes of groups and coverings.
Tensor Product of RepresentationsCovers the tensor product of representations, symmetries of a triangle, irreducible representations, and practical applications in physics.
Finite Abelian GroupsCovers Cauchy's theorem, classification of finite abelian groups, direct product properties, and more.
Group Theory: Part 2Delves into advanced group theory concepts such as isomorphisms and homomorphisms.
Schur Lemmas, Part 1Explores Schur Lemmas, group representations, and stability properties in group theory.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.