Group Theory Courses and Certifications

The Open University

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

The Open University

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

IISc Bangalore;  NPTEL

Introduction to Group Theory

Explore symmetries through group theory, from basic definitions to advanced concepts like homomorphisms and Sylow's theorems. Gain insights into geometric and number-theoretic applications.

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

IIT Bombay;  NPTEL

Group Theory methods in Physics

Explore group theory methods in physics, from discrete groups to continuous symmetries. Learn applications in molecular structures, quantum mechanics, and particle physics.

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

Group Theory II

Master advanced group theory concepts from automorphisms to Sylow theorems, exploring symmetry, factor groups, and simple groups while building deep understanding of abstract algebra's fundamental structures.

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

Group Theory

Master fundamental concepts of abstract algebra through binary operations, group structures, theorems, and practical problem-solving in permutations, homomorphisms, and finite abelian groups.

• Swayam
• 12 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

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

Group Theory

Explore groups through symmetries, applications, and problems.

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

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

Insights into Mathematics

The Square Lattice via Group D4 and Its Hypergroups - Diffusion Symmetry

Explore hypergroups and their connection to symmetry in the square lattice, focusing on the D4 group and its character table. Learn about orthogonality relations in hypergroup character tables.

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

Insights into Mathematics

Simple Groups, Lie Groups, and the Search for Symmetry I - Math History - NJ Wildberger

Explore the history of group theory, from simple groups to Lie groups, and their role in describing symmetry in geometry. Discover remarkable mathematical objects and the classification of finite simple groups.

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

International Centre for Theoretical Sciences

Stability, Non-approximate Groups and High Dimensional Expanders by Alex Lubotzky

Explore stability, non-approximate groups, and high-dimensional expanders in this advanced mathematics lecture. Gain insights into residually finite and sophic groups, with a focus on recent breakthroughs and proofs.

• YouTube
• 50 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