Group Theory: Torsion and Divisibility

Related lectures (32)

Page 2 of 4

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

Explores group actions, defining functors on groups, and verifying properties of group actions.

Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.

Delves into the categorical framework for group actions and the correspondence between G-actions on c and functors from BG to C.

Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.

Explores equivariance in group actions and functors, demonstrating its importance in group theory.

Explores the concept of free abelian groups as an important left adjoint functor.

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

Explores the concept of category theory, providing examples and discussing the opposite category concept.

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