P.Bhattacharya和N.P.Mukherjee定理的推广

A Generalized P.Bhattacharya and N.P.Mukherjee Theorem

设Ｇ为奇阶群。本文类似Ｓｐ（ Ｇ） 定义了Ｓπ（ Ｇ） ，并利用它得到Ｇ超可解的一个充分条件，推广了Ｐ．Ｂｈａｔｔａｃｈａｒｙａ 和Ｎ．Ｐ．Ｍｕｋｈｅｒｊｅｅ 定理。

Let G be a group of odd order. In this paper ,by the definition of Sπ(G),a sufficient condition for supersolvability is given, thus the P.Bhattacharya and N.P.Mukherjee Theorem is extended.