Elementary abelian normal subgroup

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.

Relation with other properties

Weaker properties

• Abelian normal subgroup
• Nilpotent normal subgroup