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
Groups: Definitions, Properties, and Homomorphisms
Graph Chatbot
Related lectures (54)
Group Theory Basics: Subgroups and Homomorphisms
Introduces subgroups and homomorphisms in group theory, with examples for illustration.
Automorphism Groups: Trees and Graphs III
Explores automorphism groups of trees and graphs, including actions on trees and group homomorphisms.
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.
Symmetry and Group Theory
Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.
Group Theory - Part 2
Explores Cayley tables, group operations, homomorphisms, Lie groups, and differentiable groups.
Topology: Free Groups and Their Properties
Discusses the theory of free groups, their properties, and relationships with other algebraic structures.
Recap of Group Theory
Provides a recap of group theory, defining a group as a set with a multiplication operation.
Pushouts in Group Theory: Universal Properties Explained
Covers the construction and universal properties of pushouts in group theory.
Untitled
Log in to Mediaspace to watch this video
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 Theory Basics
Log in to Mediaspace to watch this video
Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Categorical Perspective: Abelian Groups
Log in to Mediaspace to watch this video
Explores abelian groups from a categorical perspective, discussing the coproduct construction.
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.
Quotients in Abelian Groups
Log in to Mediaspace to watch this video
Covers quotients in abelian groups and the concept of free abelian groups, showing that every abelian group is isomorphic to a quotient of a free abelian group.
Hom Functor: Abelian Groups
Log in to Mediaspace to watch this video
Explores the Hom functor for abelian groups and its relation to direct sums.
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.
Untitled
Log in to Mediaspace to watch this video
Groups & Rings: Morphisms, Kernels, and Injectivity
Log in to Mediaspace to watch this video
Explores group morphisms, kernels, and injectivity in group theory.
Previous
Page 1 of 3
Next
