---
tag: 0YQPZB5Q1G
kind: concept
name: Orbit
aliases: [orbit-of-a-group-action]
msc: [20B05]
sources:
  - url: https://en.wikipedia.org/wiki/Group_action
    locator: Orbits and stabilizers
---

## Summary

The orbit of a point $x$ under a group action is the set of all points to which elements of the group move $x$.