# Stabilizer 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)



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

The stabilizer of a specified point consists of every group element fixing that point and forms a subgroup.

atlas-finite-group-stabilizer · canonical_mko

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

## Prerequisite nodes


- [Finite group action](https://ocme.evemisslab.com/en/atlas/atlas-finite-group-action/)
- [Subgroups and group homomorphisms](https://ocme.evemisslab.com/en/atlas/atlas-subgroup-homomorphism/)