Subgroup contained in the Baer norm

Definition
A subgroup of a group is termed a subgroup contained in the Baer norm if it satisfies the following equivalent conditions:


 * It is contained in the Baer norm of the whole group.
 * It normalizes every subgroup of the whole group.

Weaker properties

 * Stronger than::Permutable subgroup: Also related:
 * Stronger than::Hereditarily permutable subgroup
 * Stronger than::Automorph-permutable subgroup
 * Stronger than::Conjugate-permutable subgroup
 * Stronger than::2-subnormal subgroup: Also related:
 * Stronger than::Normal subgroup of characteristic subgroup
 * Stronger than::Hereditarily 2-subnormal subgroup
 * Stronger than::Subnormal subgroup
 * Stronger than::Hereditarily subnormal subgroup
 * Stronger than::Permutable 2-subnormal subgroup
 * Stronger than::Permutable subnormal subgroup