Explores the concept of direct sums in abelian groups, emphasizing the universal property and homomorphisms.
Provides a recap of group theory, defining a group as a set with a multiplication operation.
Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Covers the concept of the free product in group theory and how to determine monomorphisms and homomorphisms.
