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Classification of ExtensionsExplores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Group CohomologyCovers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Group Actions on SetsExplores group actions on sets through homomorphisms and Cartesian products, illustrating their properties and equivalent definitions.
Group Theory - Part 2Explores Cayley tables, group operations, homomorphisms, Lie groups, and differentiable groups.
Concrete CategoriesCovers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.
Recap of Group TheoryProvides a recap of group theory, defining a group as a set with a multiplication operation.
Push-out and QuotientsDelves into push-out and quotients in group theory, emphasizing homomorphisms and normal subgroups.