Fusion system-relatively weakly closed subgroup

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The article defines a subgroup property, where the definition may be in terms of a particular prime number that serves as parameter
View other prime-parametrized subgroup properties | View all subgroup properties

Definition

Suppose G is a group of prime power order, i.e., a finite p-group for some prime number p. A subgroup H of G is termed a fusion system-relatively weakly closed subgroup if H is a weakly closed subgroup for any fusion system \mathcal{F} on G.

Relation with other properties

Stronger properties

Weaker properties