---
tag: 0DZ93493VN
kind: concept
name: Centre of a group
aliases: [center-of-a-group]
msc: [20A05]
sources:
  - url: https://en.wikipedia.org/wiki/Center_(group_theory)
    locator: lead section
same_as:
  wikidata: Q1195852
  wikipedia: Center (group theory)
---

## Summary

The centre of a group is the set of elements that commute with every element of the group.
It is a normal abelian subgroup.