Nilpotent pronormal subgroup

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

Definition

A subgroup of a group is termed a nilpotent pronormal subgroup if it is nilpotent as a group and pronormal as a subgroup.

Relation with other properties

Stronger properties

• Sylow subgroup

Weaker properties

• Group generated by nilpotent pronormal subgroups