Fusion system-relatively weakly closed subgroup

Definition
Suppose $$G$$ is a group of prime power order, i.e., a finite $$p$$-group for some prime number $$p$$. A subgroup $$H$$ of $$G$$ is termed a fusion system-relatively weakly closed subgroup if $$H$$ is a weakly closed subgroup for any fusion system $$\mathcal{F}$$ on $$G$$.

Stronger properties

 * Weaker than::Isomorph-normal coprime automorphism-invariant subgroup of group of prime power order:
 * Weaker than::Isomorph-normal characteristic subgroup of group of prime power order
 * Weaker than::Coprime automorphism-invariant maximal subgroup of group of prime power order
 * Weaker than::Characteristic maximal subgroup of group of prime power order
 * Weaker than::Isomorph-free subgroup of group of prime power order
 * Weaker than::Fusion system-relatively strongly closed subgroup
 * Weaker than::Subisomorph-containing subgroup of group of prime power order

Weaker properties

 * Stronger than::Sylow-relatively weakly closed subgroup