Lectures related to Properties of Sylow Subgroups

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

Explores the concept of p-subgroups of Sylow in group theory, emphasizing the philosophy of studying mathematical objects 'one prime at a time'.

Explores the study of finite groups through subgroup analysis, focusing on Sylow subgroups.

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

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

Focuses on demonstrating properties using Lemma 3.4 in group theory.

Explores the proof of the existence of Sylow subgroups in group theory.

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

Covers the RSA cryptosystem, encryption, decryption, group theory, Lagrange's theorem, and practical applications in secure communication.

Covers the second and third properties of p-Sylow subgroups and their automorphisms.

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

Explores group theory in quantum physics, emphasizing reducible and irreducible representations, conservation laws, and group properties.

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

Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.

Introduces subgroups and homomorphisms in group theory, with examples for illustration.

Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.

Explores the class equation and Burnside's lemma in group theory.

Covers the class equation in group theory and Burnside's Lemma, relating orbits and fixed points.

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

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.