---
tag: 02YYV36BFM
kind: concept
name: Centraliser
aliases: [centralizer]
msc: [20A05]
sources:
  - url: https://en.wikipedia.org/wiki/Centralizer_and_normalizer
    locator: Definitions
---

## Summary

The centraliser of a subset $S$ of a group is the set of elements that commute with each element of $S$.
It is a subgroup.