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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 $G\to G/G'\to A$.

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• Last edited by John Jones on 2022-06-27 19:13:13
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