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