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A note on cover-avoiding properties of finite groups
Liu Jianjun 1 * #,Guo Xiuyun 2
1.Department of Mathematics,Shanghai University
2.Department of Mathematics , Shanghai University
*Correspondence author
#Submitted by
Subject:
Funding: the National Natural Science Foundation of China(No.10771132), the SRFDP of China(No.Grant No. 200802800011), the Research Grant of Shanghai University and Shanghai Leading Academic Discipline Project(No.J50101)
Opened online: 6 December 2010
Accepted by: none
Citation: Liu Jianjun,Guo Xiuyun.A note on cover-avoiding properties of finite groups[OL]. [ 6 December 2010] http://en.paper.edu.cn/en_releasepaper/content/4393884
 
 
A subgroup H of a group G is said to be a CAP*-subgroup of a group G if, for any non-Frattini chief factor K/L of G, we have HK=HL or H∩K=H∩L. In this paper, some new characterizations for finite groups are obtained based on the assumption that some subgroups are CAP*-subgroups of G.
Keywords:Frattini chief factors;cover-avoiding property; Fitting subgroups;saturated formation
 
 
 

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