Transfer-closed pronormal subgroup
From Groupprops
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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 of a group
is termed transfer-closed pronormal if, for any subgroup
of
,
is a pronormal subgroup of
.
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