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.
Explores Cayley tables, group operations, homomorphisms, Lie groups, and differentiable groups.
Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.
Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.
