Lectures related to Existence of Sylow Subgroups

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

Explores the existence of p-Sylow subgroups in finite groups and the abelian group center.

Covers active learning, video lectures, exercises, categories, group actions, and abelian groups.

Explores equivariance in group actions and functors, demonstrating its importance in group theory.

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

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

Covers the verification of constructions in the context of abelian groups and Sylow subgroups.

Explores the properties of p-subgroups of Sylow in a group.

Covers abelian groups, Sylow subgroups, and variants on beta action.