# Elementary abelian normal subgroup

From Groupprops

This article describes a property that arises as the conjunction of a subgroup property: normal subgroup with a group property (itself viewed as a subgroup property): elementary abelian group

View a complete list of such conjunctions

## Definition

A subgroup of a group is termed an **elementary abelian normal subgroup** if it is a normal subgroup as well as an elementary abelian group.