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 ob...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.展开更多
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).
文摘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.
