# 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)



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

An action of a finite group on a finite set is a total action table satisfying the identity and multiplication-compatibility laws.

atlas-finite-group-action · canonical_mko

[Finite group action](https://ocme.evemisslab.com/en/mko/mko-finite-group-action/)

## Prerequisite nodes


- [Finite group](https://ocme.evemisslab.com/en/atlas/atlas-finite-group/)
- [Function mapping](https://ocme.evemisslab.com/en/atlas/atlas-function-mapping/)
- [Set](https://ocme.evemisslab.com/en/atlas/atlas-set/)