Sylow-relatively weakly closed subgroup

Definition
Suppose $$P$$ is a group of prime power order and $$H$$ is a subgroup of $$P$$. $$H$$ is a Sylow-relatively weakly closed subgroup of $$P$$ if, whenever $$P$$ is a defining ingredient::Sylow subgroup of a finite group $$G$$, $$H$$ is a defining ingredient::weakly closed subgroup of $$P$$ relative to $$G$$.

Stronger properties

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

Weaker properties

 * Stronger than::Hall-relatively weakly closed subgroup
 * Stronger than::Normal subgroup of group of prime power order, stronger than::normal subgroup
 * Stronger than::Coprime automorphism-invariant normal subgroup of group of prime power order, stronger than::coprime automorphism-invariant normal subgroup:

Incomparable properties

 * Characteristic subgroup of group of prime power order