---
tag: 0AQZV0905N
kind: concept
name: Abelianisation
aliases: [abelianization]
msc: [20F12]
sources:
  - url: https://en.wikipedia.org/wiki/Commutator_subgroup
    locator: Abelianization
---

## Summary

The abelianisation of a group $G$ is the quotient $G/[G, G]$ by its commutator subgroup.
It is the largest abelian quotient of $G$.