Group Theory Courses and Certifications

Centre de recherches mathématiques - CRM

IRS of Non-Archimedean Groups - Measured Group Theory

Explorez les IRS des groupes non archimédiens, en élargissant la définition aux groupes polonais et en examinant les sous-groupes fermés du groupe de permutation de N.

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

Centre de recherches mathématiques - CRM

Fixed Price One for Higher Rank Groups - Measured Group Theory

Explore proof techniques for fixed price one in higher rank groups, with applications to lattices. No prior Lie theory knowledge required.

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

Centre International de Rencontres Mathématiques

Automatic Actions in Geometric and Asymptotic Group Theory

Explore geometric and asymptotic group theory, focusing on automatic actions in mathematics, with insights from Laurent Bartholdi's conference talk.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Insights into Mathematics

Simple Groups, Lie Groups, and the Search for Symmetry - Part 2

Explores the evolution of group theory in mathematics, from number theory to symmetry in geometry, covering simple groups, tessellations, and Lie groups. Highlights key mathematical objects and the classification of finite simple groups.

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

Michael Penn

No Simple Groups of Order 66 or 144

Explore advanced group theory using Sylow's Theorems to prove the non-existence of simple groups with specific orders, demonstrating powerful algebraic techniques.

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

Michael Penn

Lots of Group Isomorphism Examples

Explore group homomorphisms and isomorphisms through practical examples, applying the first isomorphism theorem to deepen understanding of abstract algebra concepts.

• YouTube
• 1 hour 6 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

Institut Henri Poincaré

Random Walks and Asymptotic Geometry of Groups

Explore advanced mathematical concepts connecting random walks with asymptotic geometry of groups through expert lectures from leading researchers in the field.

• YouTube
• 16 hours 47 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Stability and Testability - A Computational Perspective

Explore advanced mathematical concepts connecting group theory, approximation theory, and computational complexity through expert lectures on stability and testability.

• YouTube
• 1 day 4 hours 31 minutes
• On-Demand
• Free Video

IIT Kanpur;  NPTEL

Chemical Applications of Symmetry and Group Theory

The aim of this course is to provide a systematic treatment of symmetry in chemical systems within the mathematical framework known as group theory

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

Groups and Group Actions - Representations of Groups by Permutations

Discover how group actions create homomorphisms into permutation groups, prove Cayley's theorem, and explore rotation groups of regular polyhedra in this Oxford mathematics lecture.

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

Hausdorff Center for Mathematics

Derek Holt- Algorithms for Finitely Presented Groups I

Explore fundamental algorithms for computing in finitely presented groups, including Todd-Coxeter coset enumeration and Reidemeister-Schreier algorithm, with practical examples and applications.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Insights into Mathematics

Hypergroup Definition and Five Key Examples - Diffusion Symmetry 4

Explore finite commutative hypergroups through five key examples, including class and character hypergroups, distance-transitive graphs, double cosets, and automorphism orbits. Gain insights for applications in physics and chemistry.

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

Michael Penn

Groups With Four Members

Explore the mathematical properties and structures of groups with four members, uncovering their unique characteristics and applications in abstract algebra.

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

International Mathematical Union

Groups Acting on Hyperbolic Spaces - A Survey

Explore group actions on hyperbolic spaces with Mladen Bestvina in this comprehensive survey, covering key concepts, recent developments, and applications in geometric group theory.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video