# Orbit of a finite group action

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Orbit of a finite group action](https://ocme.evemisslab.com/en/atlas/atlas-finite-group-orbit/)

The images of one point under all group elements form its orbit; all orbits partition the point carrier.

atlas-finite-group-orbit · canonical_mko

[Orbit of a finite group action](https://ocme.evemisslab.com/en/mko/mko-finite-group-orbit/)

## Prerequisite nodes


- [Finite group action](https://ocme.evemisslab.com/en/atlas/atlas-finite-group-action/)
- [Equivalence class](https://ocme.evemisslab.com/en/atlas/atlas-equivalence-class/)