Group Theory: Restriction Functor

Related lectures (32)

Page 2 of 4

Introduces the theory of categories by generalizing the Cartesian product and disjoint union of sets to any category.

Explores examples of categories, morphisms, groupoids, and functors in category theory.

Explores the Hom functor in Abelian groups, focusing on its construction and properties.

Explores coproducts, universal properties, and natural transformations in category theory.

Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.

Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.

Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.

Covers the concept of morphism of groups, actions on sets, and automorphisms.

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

Introduces natural transformations in category theory through concrete examples from group theory.