Subgroup contained in the Wielandt subgroup

Definition
A subgroup contained in the Wielandt subgroup is a subgroup of a group satisfying the following equivalent conditions:


 * 1) It is in the defining ingredient::Wielandt subgroup.
 * 2) It normalizes every defining ingredient::subnormal subgroup.

Stronger properties

 * Weaker than::Normal subgroup of Wielandt subgroup

Weaker properties

 * Stronger than::Subnormal-permutable subgroup