Definition:Abelianization of Group

Definition
Let $G$ be a group.

Its abelianization is the quotient by its commutator subgroup:
 * $G^{\operatorname {ab} } = G / \sqbrk {G, G}$

Also see

 * Abelianization of Group is Largest Abelian Quotient
 * Universal Property of Abelianization of Group
 * Definition:Abelianization of Group Functor