Isomorph-free maximal subgroup of group of prime power order

This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: isomorph-free subgroup and maximal subgroup of group of prime power order
View other subgroup property conjunctions | view all subgroup properties

This article describes a property that arises as the conjunction of a subgroup property: isomorph-free maximal 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 of prime power order is termed an isomorph-free maximal subgroup if it is both an isomorph-free subgroup and a maximal subgroup (in particular, a maximal subgroup of group of prime power order).

Relation with other properties

Weaker properties

• Prehomomorph-contained subgroup of group of prime power order
• Isomorph-free subgroup of group of prime power order
• Characteristic subgroup of group of prime power order
• Characteristic maximal subgroup of group of prime power order
• Coprime automorphism-invariant maximal subgroup of group of prime power order
• Isomorph-normal characteristic subgroup