摘要
证明了πσ－幂零群类构成一饱和群系，进而利用π－Ｆｒａｔｔｉｎｉ子群的概念给出πσ－幂零群的一个充要条件。并刻划了π－可解外πσ－幂零群的结构。文中群均指有限群。
in this paper, the class of πσ - nilpotent groups being a stiturated formation is proved, and a sufficient condition of a πσ - nilpotent group and the structure of π - solvable outer πσ - nilpotent group are given.
