Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Covers the Zig Zag Lemma and the long exact sequence of relative homology.
Explores derived functors, Ext-modules, Yoneda extensions, and derived categories in the context of extending modules.
Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.
Covers homology with coefficients, introducing the concept of defining homology groups with respect to arbitrary abelian groups.
