Finite Abelian Groups & Rings

Related lectures (30)

Page 1 of 3

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

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Discusses integral domains, abelian groups, invertibility, zero divisors, prime elements, and group classification.

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.

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

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

Focuses on abelian p-groups, demonstrating technical results for classifying finite abelian groups.

Demonstrates the existence of p-Sylow subgroups in any finite group using induction and the abelian case.

Explores the properties and structure of Sylow subgroups in group theory, emphasizing a theorem-independent approach.