Conjugation in Groups

Related lectures (30)

Page 1 of 3

Covers group actions, conjugacy classes, centralizers, direct products, and finite abelian 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.

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

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

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

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.

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