Order-automorphic 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

Suppose G is a group and H is a finite subgroup of G. We say that H is an order-automorphic subgroup of G if every subgroup K of G having the same order as H is related to H via some automorphism, i.e., H and K are automorphic subgroups.