Lectures related to Group Theory: Active Learning Session

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

Covers the basics of group theory, including elements, associativity, identity, inverses, and closure.

Explores the concept of torsion in group theory, focusing on its Hom functoriality and its role in exact sequences.

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

Explores abelian groups from a categorical perspective, discussing the coproduct construction.

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

Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.

Covers commutative groups and their significance in cryptography.

Explores the beautiful properties of the p-Sylow subgroups of a finite group.