北京大学学报（自然科学版）2005，Vol.41Issue(1)：21-26,6.
关于Sylow交的共轭类
On Sylow Intersection Conjugacy Classes
摘要
Abstract
Suppose that G is a finite group and p is a prime such that p||G|.This paper studies the group invariant np(G), the number of G-orbits of Sylow intersections, which plays an important role in the research of block theory and indecomposable modules of finite groups. The paper shows some properties for finite groups with np(G)=2, in particular, it gives some necessary and sufficient conditions which show when a finite group G with np(G)=2 has the unique maximal normal p-subgroup as an intersection of two distinct Sylow p-sub-groups.关键词
Sylow交/块/极大正规p-子群Key words
sylow intersection/block/maximal normal p-subgroup分类
数理科学引用本文复制引用
王宝山..关于Sylow交的共轭类[J].北京大学学报（自然科学版）,2005,41(1):21-26,6.基金项目
国家自然科学基金(10401034)资助项目 （10401034）
