Covers the concepts of groups, products, and homomorphisms, focusing on the hx set and group alternates.
Provides a recap of group theory, defining a group as a set with a multiplication operation.
Explores group homomorphisms, isomorphisms, and generators in abstract algebra.
Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Delves into push-out and quotients in group theory, emphasizing homomorphisms and normal subgroups.
Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
