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Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Explores Cayley tables, group operations, homomorphisms, Lie groups, and differentiable groups.
Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Explores group actions on sets through homomorphisms and Cartesian products, illustrating their properties and equivalent definitions.
Provides a recap of group theory, defining a group as a set with a multiplication operation.
Delves into push-out and quotients in group theory, emphasizing homomorphisms and normal subgroups.
Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.
Covers the concepts of Galoisian and normal, including examples and evidence of coatings, revetemat, and conjugate groups.
