Quotient Groups Courses and Certifications

Insights into Mathematics

Commutative Groups: Isomorphisms, Homomorphisms, Cosets and Quotient Groups - Lecture 3

Explore commutative groups, isomorphisms, homomorphisms, cosets, and quotient groups. Learn the fundamental structure theorem and its applications in understanding group theory concepts.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

Wrath of Math

Cool Examples of Quotient Groups in Abstract Algebra

Explore fascinating examples of quotient groups in abstract algebra, including finite order elements, commutators, and group centers. Gain insights into factor groups and their properties.

• YouTube
• 15 minutes
• Self-Paced
• Free Video

Abstract Algebra

Explore fundamental concepts of abstract algebra, including groups, rings, fields, and vector spaces, with a focus on definitions, examples, and key theorems.

• YouTube
• 3 hours 30 minutes
• Self-Paced
• Free Video

Group Theory

Explore groups through symmetries, applications, and problems.

• Brilliant
• 30-40 hours
• Self-Paced
• Paid Course

Insights into Mathematics

Free Abelian Groups and Non-Commutative Groups - Algebraic Topology Review 4

Explore free abelian groups and their role in algebraic topology. Learn about the Fundamental Theorem of Finitely Generated Commutative Groups and non-commutative groups, including cosets and normal subgroups.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Abstract Algebra

Master fundamental algebraic structures including groups, rings, and fields through comprehensive lectures by Lothar Göttsche at ICTP Mathematics.

• YouTube
• 1 day 6 hours 15 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Quotients of Groups of Birational Transformations - Class 4

Explore quotients of birational transformation groups in this advanced algebraic geometry lecture by Susanna Zimmermann, part of the V Latin American School of Algebraic Geometry at IMPA.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Quotients of Groups of Birational Transformations - Class 3

Explore quotients of birational transformation groups in algebraic geometry. Delve into advanced concepts with expert Susanna Zimmermann in this comprehensive lecture from the V Latin American School of Algebraic Geometry.

• YouTube
• 1 hour 37 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

Dehn-Filling-Like Quotients of Mapping Class Groups

Explore Dehn-filling-like quotients of mapping class groups, examining their algebra and geometry, inspired by Thurston's hyperbolic Dehn filling theorem.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

Introduction to Order Structures in Groups - Lecture 4

Explore order structures in groups, covering total orders, algebraic structures, and essential tools. Gain insights into open problems and active research areas in the field.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

Introduction to Order Structures in Groups - Lecture 2

Explore various total orders on groups, their relationships with algebraic structures, and essential tools like dynamical realization and the Burns-Hale theorem.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

Introduction to Order Structures in Groups - Lecture 1

Explore various types of total orders on groups, their relationships with algebraic structures, and essential tools like dynamical realization and the Burns-Hale theorem.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Iterated Graph Derivatives, Antiderivatives, and Priority Arguments

Explore iterated graph derivatives and antiderivatives through computability theory, extending Hausdorff derivatives from linear orders to graphs, trees, and forests.

• YouTube
• 41 minutes
• Self-Paced
• Free Video

群论

对称性在物理学中有着广泛的应用，《群论》是研究系统对称性的有力工具，因此《群论》课程是物理学研究生的基础课程。

• XuetangX
• Self-Paced
• Free Online Course

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
• No Longer Offered
• Free Online Course