Right-quotient-transitively central factor

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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]
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Definition

Definition with symbols

A subgroup $H$ of a group $G$ is termed a right-quotient-transitively central factor if $H$ is a normal subgroup of $G$ and whenever $K$ is a subgroup of $G$ such that $K/H$ is a central factor of $G/H$ , then $K$ is a central factor of $G$ .