Lectures related to Hall subgroup

Sylow Subgroups: Group Theory

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

Properties of Sylow Subgroups

Covers the properties of p-subgroups of Sylow in group theory, including cardinality and conjugacy relationships.

Introduction, Ch V: Sylow Subgroups

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

Definition: Understanding Group Structures

Explores the philosophy of understanding a group through its subgroups' structure, focusing on finite groups.

Abelian Groups: Fourth Property

Explores the fourth property of p-Sylow subgroups in abelian groups.

Properties of Sylow Subgroups: Group Theory

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

A Tool for Demonstrating Properties: Lemme 3.4

Focuses on demonstrating properties using Lemma 3.4 in group theory.

Properties of Sylow Subgroups

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

Endomorphisms and automorphisms of totally disconnected locally compact groups III

Explores the properties of endomorphisms and automorphisms of locally compact groups, emphasizing invariance, tree representation theory, and minimal subgroups.

Proof of Sylow Subgroup Properties

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

Groups & Subgroups: Definitions, Theorems, and Morphisms

Covers the fundamental concepts of groups and subgroups, including definitions, theorems, and morphisms.

Existence of Sylow Subgroups

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

Introduction to Group Theory

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

Symmetry and Group Theory

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

Existence in Abelian Case and Group Center

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

Useful Variants on Beta Action

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

Algebra: Practice Exam Solutions

Covers the solution of a practice exam in Algebra, focusing on finding greatest common divisors of polynomials and exploring group properties.

Group Theory Basics: Subgroups and Homomorphisms

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

Powers and Multiples: Subgroups and Stabilizers

Covers powers, multiples, subgroups, and stabilizers in group theory.

Group Theory: Introduction

Covers group theory fundamentals, motivations for studying group actions, equivalent definitions, and subsets associated with group actions.