Group Orbits
Many important equivalence relations arise from group theory since we are often only interested in objects up to some sort of symmetry. The resulting equivalence classes are called group orbits. In this video, we introduce this notion and explain how group orbits naturally arise in many mathematical questions.
▶︎
Cosets. Lagrange's theorem
▶︎
Symmetry and groups
▶︎
Group Theory, lecture 5.1: Group actions
▶︎
Simple groups, Lie groups, and the search for symmetry I | Math History | NJ Wildberger
▶︎
Cosets and Lagrange’s Theorem - The Size of Subgroups (Abstract Algebra)
▶︎
A visual guide to Bayesian thinking
▶︎
Alternating Groups Part 1
▶︎
What is the square root of two? | The Fundamental Theorem of Galois Theory
▶︎
Proof & Example: Orbit-Stabilizer Theorem - Group Theory
▶︎
Group Definition (expanded) - Abstract Algebra
▶︎
Group theory, abstraction, and the 196,883-dimensional monster
▶︎
Symmetric Groups (Abstract Algebra)
▶︎
Group Theory 4: Actions, Orbits, and Stabilizers
▶︎
Burnside's theorem on counting orbits
▶︎
Chapter 2: Orbit-Stabiliser Theorem | Essence of Group Theory
▶︎
Why Peter Scholze is once in a Generation Mathematician
▶︎
A Sensible Introduction to Category Theory
▶︎
Terence Tao: Nobody Understands Why AI Actually Works
▶︎
Galois Theory Explained Simply
▶︎