Characteristic 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: characteristic subgroup and maximal subgroup of group of prime power order
View other subgroup property conjunctions | view all subgroup properties

Definition

A subgroup of a group of prime power order is termed a characteristic maximal subgroup of group of prime power order if it is a characteristic subgroup as well as a maximal subgroup (in particular, a maximal subgroup of group of prime power order).

Relation with other properties

Stronger properties

• Isomorph-free maximal subgroup of group of prime power order

Weaker properties

• Coprime automorphism-invariant maximal subgroup of group of prime power order
• Isomorph-normal characteristic subgroup
• Isomorph-normal coprime automorphism-invariant subgroup
• Fusion system-relatively weakly closed subgroup
• Sylow-relatively weakly closed subgroup