Torsion and Divisibility in Group Theory

Related lectures (30)

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Covers exact sequences, torsion, divisibility, and operations on abelian groups.

Explores abelian groups from a categorical perspective, discussing the coproduct construction.

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

Covers active learning, video lectures, exercises, categories, group actions, and abelian groups.

Explores group operations with cyclic properties and the universal ownership of quotients.

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

Introduces the theory of abelian groups, focusing on p-abelian groups and their structure.

Explores divisibility and torsion in group theory, focusing on defining a functor that preserves divisibility.

Delves into direct sums of abelian groups, showcasing their coproduct properties and universal verification.

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