New Criteria for Quasi-F-Groups  

作　　者：Juping Tang Jia Zhang Long Miao 

机构地区：[1]Wuxi Institute of Technology,Wuxi 214121,China [2]School of Mathematics and Information,China West Normal University,Nanchong 637009,China [3]School of Mathematical Sciences,Yangzhou University,Yangzhou 225002,China

出　　处：《Communications in Mathematics and Statistics》2019年第1期25-32,共8页数学与统计通讯（英文）

基　　金：supported by the grant of NSFC(Grant#11701223,11271016,11501235);the Key Natural Science Foundation of Anhui Education Commission(KJ2017A569);Research project of China West Normal University(17E091).

摘　　要：Let G be a finite group and F a saturated formation of finite groups.Then G is a quasi-F-group if for every F-eccentric chief factor H/K of G and every x∈G,x induces an inner automorphism on H/K.In this article,we obtain some results about the quasi-F-groups and use them to give the conditions under which a group is quasisupersoluble.

关 键 词：Quasi-F-groups Sylow subgroups M-supplemented subgroups Solubly saturated formation 

分 类 号：O15[理学—数学]