Group Theory Courses and Certifications

Michael Penn

Cauchy's Theorem in Group Theory

Explore the fundamental principles and applications of Cauchy's Theorem, a key concept in group theory that connects prime factors and subgroup existence.

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

Hausdorff Center for Mathematics

Logic and Algorithms in Group Theory - Trimester Program

Explore advanced group theory through expert lectures on pseudofinite groups, representation theory, algorithms, stability, and algebraic geometry applications.

• YouTube
• 1 day 2 hours 57 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

A Quantitative Neumann Lemma for Finitely Generated Groups - Measured Group Theory

Explore coset covering functions in infinite, finitely generated groups. Discover lower bounds, linear growth in amenable groups, and exponential behavior in property (T) groups.

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

Centre de recherches mathématiques - CRM

Measure Equivalence and Wreath Products in Group Theory

Explore measure equivalence and wreath products in group theory, focusing on nonabelian free groups and orbit equivalence of wreath products.

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

Centre de recherches mathématiques - CRM

Outer Spaces of Virtually Free Groups - Lecture on Group Theory

Explore the deformation space of trees in virtually free groups, relating it to Outer Space of free subgroups. Understand equivalence and actions on trees with finite stabilizers.

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

NCCR SwissMAP

Backtrack Methods and Canonical Images - Lecture on Group Theory

Explore backtrack methods and canonical images in group theory, uncovering new connections and advanced techniques.

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

BIMSA

Forest Groups - From Thompson's Group to Conformal Field Theory

Delve into the fascinating connection between Thompson's group and conformal field theories, exploring forest groups and their applications in mathematical group theory through planar diagrams and skein theory.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Vershik-Følner Sets and Other Ideas in Geometry and Group Theory

Delve into advanced mathematical concepts as Mikhail Gromov explores Vershik-Følner sets and their applications in geometry and group theory through rigorous theoretical analysis.

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

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

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

Abstract Algebra: Group Theory with the Math Sorcerer

572 ratings at Udemy

Master abstract algebra fundamentals through group theory, from basic operations to advanced concepts like homomorphisms and quotient groups. Develop mathematical maturity through proven theorems and practical problem-solving.

• Udemy
• 10 hours 1 minute
• On-Demand
• Paid Course

An Introduction to Matrix Lie Groups

Explore matrix Lie groups as geometric transformations, covering their structures, topology, and applications in quantum computing, robotics, and physics.

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

3Blue1Brown

Exploration and Epiphany - Sol LeWitt's Incomplete Open Cubes and Rediscovering Burnside's Lemma

Discover how Sol LeWitt's art connects to Burnside's lemma through mathematical exploration, symmetry analysis, and pattern recognition in group theory.

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

Centre de recherches mathématiques - CRM

Compact IRS and Compact URS in Group Theory

Explore generalizations of normal subgroups through Invariant Random Subgroups and Uniformly Recurrent Subgroups. Examine their behavior and recent findings on compact IRS and URS.

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

Centre de recherches mathématiques - CRM

L1 Full Groups of Flows in Measured Group Theory

Explore probability measure-preserving actions of reals, associated Polish groups, and their properties. Investigate L1 full groups, their abelianization, and topological rank.

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