Skip to main content
Graph
Search
fr
en
Login
Search
All
Categories
Concepts
Courses
Lectures
MOOCs
People
Quizes
Exercises
Publications
Startups
Units
Show all results for
Home
Lecture
Group Theory: Quotients of Group
Graph Chatbot
Related lectures (50)
Push-out and Quotients
Delves into push-out and quotients in group theory, emphasizing homomorphisms and normal subgroups.
Normal Subgroups and Quotients
Introduces normal subgroups, group quotients, and their applications in group theory.
Topology: Free Groups and Their Properties
Discusses the theory of free groups, their properties, and relationships with other algebraic structures.
Amalgams: Group Pushouts
Covers the concept of amalgams, defining pushouts and quotient groups in group theory.
Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Group Homomorphisms
Explores group homomorphisms, constructing isomorphisms between groups using generators and relations.
Second Isomorphism Theorem
Delves into the second isomorphism theorem in group theory, emphasizing subgroup relationships and quotient groups.
Recap of Group Theory
Provides a recap of group theory, defining a group as a set with a multiplication operation.
Applications of Lagrange's Theorem
Log in to Mediaspace to watch this video
Explores Lagrange's theorem applications in group theory and arithmetic, focusing on subgroups, cosets, quotient groups, and homomorphisms.
Categorical Perspective: Group Quotients
Log in to Mediaspace to watch this video
Explores the categorical sense of constructing a group quotient by a normal subgroup, showing it as a specific example of a more general construction.
Groups: Definitions, Properties, and Homomorphisms
Log in to Mediaspace to watch this video
Introduces the basic concepts of groups, including definitions, properties, and homomorphisms, with a focus on subgroup properties and normal subgroups.
Lagrange's Theorem: Applications and Homomorphisms
Log in to Mediaspace to watch this video
Covers Lagrange's theorem, group homomorphisms, congruence classes, and normal subgroups.
Applications of Lagrange's Theorem
Log in to Mediaspace to watch this video
Explores the applications of Lagrange's theorem in algebra, covering corollaries, cyclic groups, and quotient groups.
Universal Property of Groups
Log in to Mediaspace to watch this video
Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.
Group Actions: Examples and Applications
Log in to Mediaspace to watch this video
Explores examples of group actions on sets, emphasizing the utility of group actions to understand groups.
Subgroups and Cosets: Lagrange's Theorem
Log in to Mediaspace to watch this video
Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.
Group Theory Basics
Log in to Mediaspace to watch this video
Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Active Learning: Group Homomorphisms
Log in to Mediaspace to watch this video
Explores group homomorphisms, emphasizing surjective mappings and their impact on group questions.
Group Homomorphisms: Kernels, Images, and Normal Subgroups
Log in to Mediaspace to watch this video
Explores group homomorphisms, kernels, images, and normal subgroups, using the dihedral group D_n as an example.
Quotient Groups and Homomorphisms
Log in to Mediaspace to watch this video
Covers explicit calculations of push-outs in Ens and the study of induced homomorphisms between quotient groups.
Previous
Page 1 of 3
Next