Finite Abelian Groups

Related lectures (30)

Page 3 of 3

Introduces torsion and divisibility concepts in abelian groups to describe their structure.

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

Introduces subgroups and homomorphisms in group theory, with examples for illustration.

Explores the symmetries of a regular n-gon, normal subgroups, cosets, and Lagrange's theorem.

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

Explores automorphism groups of trees and graphs, including actions on trees and group homomorphisms.

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

Explores the direct sum of abelian groups, emphasizing bijections and uniqueness.

Covers the proof of the Classification Theorem for finite abelian groups, demonstrating the existence of a decomposition into cyclic groups.

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