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Nilpotent Hall subgroup

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

Contents

Definition

A subgroup of a finite group is termed a nilpotent Hall subgroup if it is a Hall subgroup (i.e., its order and index are relatively prime) and also a nilpotent group.

Relation with other properties

Facts