Fusion system-relatively strongly closed subgroup

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Definition

Suppose $P$ is a group of prime power order and $H$ is a subgroup of $P$ . We say that $H$ is a fusion system-relatively strongly closed subgroup if, for any fusion system ${\mathcal {F}}$ on $P$ , $H$ is a strongly closed subgroup for the fusion system ${\mathcal {F}}$ .

Relation with other properties

Stronger properties

Variety-containing subgroup of group of prime power order

Weaker properties