Centric subgroup for a fusion system

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 $P$. A subgroup $Q$ of $P$ is termed a ${\mathcal {F}}$-centric subgroup if for any isomorphism $\varphi :Q\to R$ in the category ${\mathcal {F}}$, $R$ is a self-centralizing subgroup of $P$, i.e., $C_{P}(R)=Z(R)$.