Transfer-closed pronormal 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 group G is termed transfer-closed pronormal if, for any subgroup K of G, H \cap K is a pronormal subgroup of K.

Formalisms

In terms of the transfer condition operator

This property is obtained by applying the transfer condition operator to the property: pronormal subgroup
View other properties obtained by applying the transfer condition operator

Relation with other properties

Stronger properties

Weaker properties