# Conjugacy class in a finite group

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)



## [Conjugacy class in a finite group](https://ocme.evemisslab.com/en/atlas/atlas-finite-group-conjugacy-class/)

A finite group acts on itself by g*x=g*x*g^(-1); the orbits are conjugacy classes partitioning the group.

atlas-finite-group-conjugacy-class · canonical_mko

[Conjugacy class in a finite group](https://ocme.evemisslab.com/en/mko/mko-finite-group-conjugacy-class/)

## Prerequisite nodes


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