Classification of Finite Abelian Groups

Related lectures (30)

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

Explores the applications of Lagrange's theorem in algebra, covering corollaries, cyclic groups, and quotient groups.

Covers the classification theorem for finite abelian groups and introduces rings, including zero divisors and domains.

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

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

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

Explores finitely generated abelian groups, focusing on their structure and isomorphism theorems.

Explores the concept of direct sums in abelian groups, emphasizing the universal property and homomorphisms.

Covers the existence and uniqueness of direct sums in abelian groups.

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