Amalgams: Group Pushouts

Related lectures (32)

Page 3 of 4

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

Explores Lagrange's theorem applications in group theory and arithmetic, focusing on subgroups, cosets, quotient groups, and homomorphisms.

Explores the third isomorphism theorem in group theory, focusing on quotient groups and a categorical perspective.

Covers the verification of constructions in the context of abelian groups and Sylow subgroups.

Covers the concept of the free product in group theory and how to determine monomorphisms and homomorphisms.

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Explores the uniqueness of amalgams in group theory through examples and diagrams.

Explores the Hom functor for abelian groups and its relation to direct sums.

Explores free abelian groups, homomorphisms, and exact sequences in group theory.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.