Powering-invariant subgroup of nilpotent group

This article describes a property that arises as the conjunction of a subgroup property: powering-invariant subgroup with a group property imposed on the ambient group: nilpotent group
View a complete list of such conjunctions | View a complete list of conjunctions where the group property is imposed on the subgroup

Definition

A subgroup $H$ of a nilpotent group $G$ is termed a powering-invariant subgroup of nilpotent group if $H$ is a powering-invariant subgroup of $G$.