Order-normal subgroup of group of prime power order

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This article describes a property that arises as the conjunction of a subgroup property: order-normal subgroup with a group property imposed on the ambient group: group of prime power order
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 group is termed an order-normal subgroup of group of prime power order if the whole group is a group of prime power order and the subgroup is an order-normal subgroup: every subgroup of the group having the same order as this subgroup is a normal subgroup.

Relation with other properties

Stronger properties

Weaker properties