Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Provides a recap of group theory, defining a group as a set with a multiplication operation.
Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Explores the concept of direct sums in abelian groups, emphasizing the universal property and homomorphisms.
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Explores Cayley tables, group operations, homomorphisms, Lie groups, and differentiable groups.
