Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Covers quotients in abelian groups and the concept of free abelian groups, showing that every abelian group is isomorphic to a quotient of a free abelian group.
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
