# Center of 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)



## [Center of a finite group](https://ocme.evemisslab.com/en/atlas/atlas-finite-group-center/)

The center consists of all elements commuting with every group element and is a normal subgroup.

atlas-finite-group-center · canonical_mko

[Center of a finite group](https://ocme.evemisslab.com/en/mko/mko-finite-group-center/)

## Prerequisite nodes


- [Finite group](https://ocme.evemisslab.com/en/atlas/atlas-finite-group/)
- [Conjugacy class in a finite group](https://ocme.evemisslab.com/en/atlas/atlas-finite-group-conjugacy-class/)
- [Finite normal subgroup](https://ocme.evemisslab.com/en/atlas/atlas-finite-normal-subgroup/)
- [Quantifiers and explicit domains](https://ocme.evemisslab.com/en/atlas/atlas-quantifier/)