# 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 theambient 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 of a nilpotent group is termed a **powering-invariant subgroup of nilpotent group** if is a powering-invariant subgroup of .