Radical subgroup for a fusion system

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 $$\mathcal{F}$$-radical subgroup if $$O_p(\operatorname{Aut}_{\mathcal{F}}(Q)) = \operatorname{Aut}_Q(Q)$$. Here, $$\operatorname{Aut}_{\mathcal{F}}(Q)$$ denotes the automorphisms of $$Q$$ in the category $$\mathcal{F}$$, $$O_p$$ denotes the p-core, and $$\operatorname{Aut}_Q(Q)$$ denotes the inner automorphism group of $$Q$$, viewed as a subgroup of $$\operatorname{Aut}_{\mathcal{F}}(Q)$$.