Polycharacteristic 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]


A subgroup H of a group G is termed polycharacteristic in G if the following holds: for any automorphism \sigma of G, H is a contranormal subgroup in the closure of H in G under the action of the cyclic subgroup generated by \sigma.

Relation with other properties

Stronger properties

Weaker properties




This subgroup property is trim -- it is both trivially true (true for the trivial subgroup) and identity-true (true for a group as a subgroup of itself).
View other trim subgroup properties | View other trivially true subgroup properties | View other identity-true subgroup properties