Coprime automorphism-invariant 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 finite group and H is a subgroup of G. We say that H is a coprime automorphism-invariant subgroup of G if, for any automorphism \sigma of G whose order is relatively prime to the order of G, we have \sigma(H) = H.

Relation with other properties

Stronger properties