---
type: "concept"
title: "Abelian group"
slug: "abelian-group"
language: "en"
translationGroupId: "cmraflx6s0001nx01ogw3zueq"
domain: "Algebra"
status: "usable"
aliases: []
lastEditedBy: "ancient-tree"
---

A [[Group|group]] $G$ is abelian, or commutative, if for all $a,b\in G$,
$$ab=ba$$