On Finite Groups with Some Semi Cover-Avoiding Subgroups  

作　　者：Xiu Yun GUO Li Li WANG 

机构地区：[1]Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2007年第9期1689-1696,共8页数学学报（英文版）

基　　金：the National Natural Science Foundation of China(10471085);the Shanghai Pujiang Program(05PJ14046);the Special Funds for Major Specialities of Shanghai Education Committee

摘　　要：A subgroup H of a finite group G is said to have the semi-cover-avoiding property in G if there is a chief series of G such that H covers or avoids every chief factor of the series. In this paper, some new results are obtained based on the assumption that some subgroups have the semi-cover-avoiding property in the group.A subgroup H of a finite group G is said to have the semi-cover-avoiding property in G if there is a chief series of G such that H covers or avoids every chief factor of the series. In this paper, some new results are obtained based on the assumption that some subgroups have the semi-cover-avoiding property in the group.

关 键 词：semi-cover-avoidance property fitting subgroups supersolvable groups 

分 类 号：O15[理学—数学]