Direct Sum of Abelian Groups

Related lectures (30)

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

Covers the Orbit-Stabilizer theorem, conjugacy classes, and direct products in finite groups.

Covers the classification of finite abelian groups and the unique sequence of positive integers for isomorphism.

Explores conjugation in groups, the direct product of groups, and the classification of finite abelian groups.

Explores chain complexes, abelian groups, homomorphisms, homology groups, and free abelian groups.

Covers Cauchy's theorem, classification of finite abelian groups, direct product properties, and more.

Explores algebraic structures, classes of examples, and properties of cyclic groups.

Explores the classification of finite abelian groups and rings, emphasizing elementary divisors and properties of rings.

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.

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