关于π-局部群系的几个结果

On Some Results of π-Local Formation

本文做了两方面的工作：（１）给出了一个群属于π-局部群系的一些充要条件，推广了Ｇａｓｃｈｕｔｚ关于群的中心与Ｆｒａｔｔｉｎｉ子群关系的结果；（２）对满足π-齐次性条件的群统一到７π-局部群系上进行研究．

In this paper, we shall show as follow: (1) We give some sufficient and necessary conditions for a finite group to be π-local formation. Gaschutz theorem about Frattini subgroup and center of the group is extended to π-local formation. (2) Groups which satisfy it-homogeneous condition are generalized to π-local formation.