Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Delves into advanced group theory concepts such as isomorphisms and homomorphisms.
Provides a recap of group theory, defining a group as a set with a multiplication operation.
Covers the concept of morphism of groups, actions on sets, and automorphisms.
Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
