Order-containing 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 finite subgroup H of a group G is termed order-containing if for any subgroup K such that the order of K divides the order of H, K \le H.

Relation with other properties

Stronger properties

Weaker properties