Perfect 2-subnormal subgroup

This article describes a property that arises as the conjunction of a subgroup property: 2-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 2-subnormal subgroup if it is perfect as a group and is also a 2-subnormal subgroup.

Relation with other properties

Stronger properties

• Perfect normal subgroup

Weaker properties

• Perfect subnormal subgroup
• Join-transitively subnormal subgroup
• 2-subnormal subgroup
• Subnormal subgroup