Characteristic transitively normal subgroup

Definition
A subgroup of a group is termed a characteristic transitively normal subgroup if it satisfies the following equivalent conditions:


 * 1) It is both a characteristic subgroup and a transitively normal subgroup.
 * 2) It is both a characteristic subgroup and a CEP-subgroup.

Stronger properties

 * Weaker than::Characteristic direct factor
 * Weaker than::Characteristic central factor
 * Weaker than::Conjugacy-closed characteristic subgroup

Weaker properties

 * Stronger than::Characteristic subgroup
 * Stronger than::Transitively normal subgroup
 * Stronger than::Normal subgroup
 * Stronger than::CEP-subgroup