ON F-z-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS  

作　　者：郭文彬 唐娜 李保军 

机构地区：[1]Department of Mathematics, University of Science and Technology of China [2]Department of Mathematics, Xuzhou Normal University [3]Department of Mathematics, Huaiyin Teachers College [4]School of Mathematics, Chengdu University of Information Technology

出　　处：《Acta Mathematica Scientia》2011年第1期22-28,共7页数学物理学报（B辑英文版）

基　　金：supported by NNSF Grant of China(11071229)

摘　　要：A subgroup H of a group G is called F-z-supplemented in G if there exists a subgroup K of G, such that G = HK and H∩K≤ Z∞F（G）, where Z∞F（G） is the F-hypercenter of G. We obtain some results about the F-z-supplemented subgroups and use them to determine the structure of some groups.A subgroup H of a group G is called F-z-supplemented in G if there exists a subgroup K of G, such that G = HK and H∩K≤ Z∞F（G）, where Z∞F（G） is the F-hypercenter of G. We obtain some results about the F-z-supplemented subgroups and use them to determine the structure of some groups.

关 键 词：Finite groups local formations F-z-supplemented subgroups supersoluble groups p-nilpotent groups 

分 类 号：O152.1[理学—数学] U674.192[理学—基础数学]