Perfect subnormal subgroup

This article describes a property that arises as the conjunction of a subgroup property: subnormal subgroup with a group property (itself viewed as a subgroup property): perfect group
View a complete list of such conjunctions

Definition

A subgroup of a group is termed a perfect subnormal subgroup if it is perfect as a group and subnormal as a subgroup.

Relation with other properties

Weaker properties

• Join-transitively subnormal subgroup
• Subnormal-permutable subnormal subgroup