Delves into push-out and quotients in group theory, emphasizing homomorphisms and normal subgroups.
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Explores group homomorphisms, constructing isomorphisms between groups using generators and relations.
Delves into the second isomorphism theorem in group theory, emphasizing subgroup relationships and quotient groups.
Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
