Group Theory Courses and Certifications

Group theory

2 ratings at OpenLearn

This free course consolidates and builds on group theory studied at OU level 2 or equivalent. Section 1 describes how to construct a group called the direct product of two given groups, and then ...

• OpenLearn
• 16 hours
• On-Demand
• Free Certificate

Introduction to group theory

3 ratings at OpenLearn

This free course is an introduction to group theory, one of the three main branches of pure mathematics. Section 1 looks at the set of symmetries of a two-dimensional figure which are then viewed ...

• OpenLearn
• 16 hours
• On-Demand
• Free Certificate

Chennai Mathematical Institute;  NPTEL

Introduction to Abstract Group Theory

Explore abstract group theory through definitions, theorems, and practical examples. Develop problem-solving skills and gain insights into fundamental concepts like Lagrange's and Sylow's theorems.

• Swayam
• 8 weeks
• On-Demand
• Free Online Course

Symmetry and Group Theory

Explore molecular symmetry's role in chemistry, from determining properties to simplifying quantum mechanics. Learn group theory applications and spectroscopic selection rules.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

CEC;  Pazhassi Raja NSS College

Group Theory I

Comprehensive exploration of group theory fundamentals, covering binary operations, cyclic groups, symmetries, homomorphisms, and isomorphism theorems. Ideal for advanced mathematics students seeking in-depth understanding.

• Swayam
• 16 weeks
• On-Demand
• Free Online Course

Institute for Advanced Study

Subgroup Tests and the Aldous-Lyons Conjecture

Explore the refutation of the Aldous-Lyons conjecture through novel interactive proof systems and subgroup tests, connecting complexity theory to probability theory and group theory.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Finite-Dimensional Pseudofinite Groups of Small Dimension Without CFSG

Delve into advanced mathematical concepts of finite-dimensional pseudofinite groups, exploring theoretical frameworks without using the Classification of Finite Simple Groups (CFSG).

• YouTube
• 50 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

A Borovik-Cherlin Bound for Primitive Pseudo-finite Permutation Groups

Delve into advanced mathematical theory exploring primitive pseudo-finite permutation groups and the Borovik-Cherlin bound through rigorous analysis and comprehensive proofs.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Assorted Group Theory

Explore the fascinating world of group theory, delving into complex orders and the intriguing connections between abstract algebra and geometric shapes.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Group Theory

Explore groups through symmetries, applications, and problems.

• Brilliant
• 30-40 hours
• On-Demand
• Paid Course

Dr. Gajendra Purohit

Group Theory

Comprehensive exploration of group theory, covering key concepts from basic definitions to advanced topics like Sylow theorems, ideal for mathematics and engineering students.

• YouTube
• 20 hours
• On-Demand
• Free Video

International Mathematical Union

Character Estimates for Finite Simple Groups and Applications

Explore character estimates for finite simple groups and their applications in various mathematical problems, including mixing times, Waring's Problem, and conjectures by Ore and Thompson.

• YouTube
• 45 minutes
• On-Demand
• Free Video

International Mathematical Union

Kathryn Mann- Groups Acting at Infinity

Explore rigidity in group actions, lattices, and infinity, with applications to surface groups, boundaries, and Anosov flows. Gain insights into mathematical concepts and their interconnections.

• YouTube
• 43 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

GAP Installation and Practical Introduction - Lecture 2

Practical introduction to GAP software for group theory computations, covering installation, basic commands, and exercises on symmetric groups, conjugacy classes, and finite group enumeration.

• YouTube
• 23 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Structure of Group Rings and the Group of Units of Integral Group Rings - Lecture 1

Explores group rings, their structure, and units of integral group rings. Covers idempotents, invertible elements, augmentation mapping, and constructions of units including Bass and cyclotomic units.

• YouTube
• 57 minutes
• On-Demand
• Free Video