The abelianization of a group $G$ is $G/G'$, the quotient by its commutator subgroup. The abelianization of $G$ is the largest abelian quotient of $G$ in the sense that any homomorphism $G\to A$ where $A$ is an abelian group factors as a composition of homomorphisms $G\to G/G'\to A$.
Authors:
Knowl status:
- Review status: reviewed
- Last edited by John Jones on 2022-06-27 19:13:13
Referred to by:
History:
(expand/hide all)
- 2022-06-27 19:13:13 by John Jones (Reviewed)
- 2021-07-12 19:22:19 by Sam Schiavone (Reviewed)
- 2021-07-12 19:17:03 by Sam Schiavone