Concept

Computational group theory

Related lectures (5)

Free Actions, Ch III: Group Actions Log in to Mediaspace to watch this video

Explains the concept of free actions and their preservation properties in group theory.

Introduction to Categories: Products and Coproducts Log in to Mediaspace to watch this video

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

Introduction to Category Theory: Adjoint Functors Log in to Mediaspace to watch this video

Introduces adjoint functors in category theory, emphasizing their significance and applications in establishing relationships between different categories.

Isomorphism Theorems: Quotients of Group Log in to Mediaspace to watch this video

Explores the isomorphism theorems for quotient groups and the concept of surjective homomorphisms.

Existence of Direct Sums: Abelian Groups Log in to Mediaspace to watch this video

Demonstrates the existence of direct sums of abelian groups and covers propositions and proofs related to their uniqueness.