Provides a recap of group theory, defining a group as a set with a multiplication operation.
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.
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.
Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Explores group actions on sets through homomorphisms and Cartesian products, illustrating their properties and equivalent definitions.
Explores Cayley tables, group operations, homomorphisms, Lie groups, and differentiable groups.
