Weakly closed subgroup for a fusion system

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This article defines a property that can be evaluated for a group of prime power order, equipped with a fusion system
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Definition

Suppose P is a group of prime power order and \mathcal{F} is a fusion system on P. Then a subgroup Q \le P is termed weakly closed with respect to \mathcal{F} if for every morphism \varphi: Q \to P in \mathcal{F}, we have \varphi(Q) = Q.

Relation with other properties

Stronger properties

Related subgroup properties and subgroup-of-subgroup properties