Nilpotent Hall subgroup

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.

Stronger properties

 * Weaker than::Abelian Hall subgroup
 * Weaker than::Sylow subgroup

Weaker properties

 * Stronger than::Isomorph-conjugate Hall subgroup
 * Stronger than::Isomorph-conjugate subgroup:
 * Stronger than::Intermediately isomorph-conjugate subgroup
 * Stronger than::Pronormal Hall subgroup:
 * Stronger than::Procharacteristic subgroup
 * Stronger than::Pronormal subgroup:

Facts

 * Nilpotent Hall subgroups of same order are conjugate