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.
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.
Recap of Group TheoryProvides a recap of group theory, defining a group as a set with a multiplication operation.
Cohomology: Cross ProductExplores cohomology and the cross product, demonstrating its application in group actions like conjugation.