Order-dominated subgroup

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This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]

Definition

A subgroup H of a finite group G is termed order-dominated in G if, given any finite subgroup K of G such that the order of H divides the order of K, there exists g \in G such that gHg^{-1} \le K.

Relation with other properties

Stronger properties

Weaker properties