Delves into push-out and quotients in group theory, emphasizing homomorphisms and normal subgroups.
Provides a recap of group theory, defining a group as a set with a multiplication operation.
Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Covers the group presentation of S3, normal subgroups, generators, relations, quotient groups, and injective homomorphisms.
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
