关于P－局部群系的临界性问题

本文利用文献［１］定义的超中心，给出了户ｐ－局部群系临界性问题的结构。利用该结构将文献［２］的一些结果推广到一般的ｐ－局部群系式上，从而使Ｉｔ６定理［３］和Ｂｕｃｋｌｅｙ定理［３］成为本文定理２．２和定理２．３的特殊情况。本文还利用Ｓ－拟正规的概念［３］，将Ｉｔ６定理和Ｂｕｃｋｌｅｙ定理推广到一般的ｐ－局部群系上。

ON P-LOCAL FORMATION CRITICAL PROBLEM

In this paper, The author makes use of the Concept of hypercenter(see1]).TheComplete classification of p-local formation critical problem is obtained.The results of ref-erence2] and ltO theorem and Buckly theorem(see3])are generalized by author usingthe complete classification. This paper makes use of the concept of s-quasinormal,too,Ittheorem and Buckley theorem are generalized to the general p-local formation.