Abelian-quotient subgroup

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This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]

Definition

Symbol-free definition

A subgroup of a group is termed an Abelian-quotient subgroup if it satisfies the following equivalent conditions:

Definition with symbols

A subgroup H of a group <math>G</math> is termed an Abelian-quotient subgroup if it satisfies the following equivalent conditions:

Relation with other properties

Stronger properties

Weaker properties