ON F-z-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS

doi:10.1016/S0252-9602(11)60204-X

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (1): 22-28.doi: 10.1016/S0252-9602(11)60204-X

ON F-z-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS

郭文彬|唐娜|李保军

Department of Mathematics, University of Science and Technology of China, Hefei 230026, China|Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China；Department of Mathematics, Huaiyin Teachers College, Huaiyin 223001, China；School of Mathematics, Chengdu University of Information Technology, Chengdu 610225, China

收稿日期:2007-02-18 修回日期:2009-08-20 出版日期:2011-01-20 发布日期:2011-01-20
基金资助:
Research was supported by NNSF Grant of China (11071229).

ON F-z-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS

GUO Wen-Bin, TANG Na, LI Bao-Jun

Department of Mathematics, University of Science and Technology of China, Hefei 230026, China|Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China；Department of Mathematics, Huaiyin Teachers College, Huaiyin 223001, China；School of Mathematics, Chengdu University of Information Technology, Chengdu 610225, China

Received:2007-02-18 Revised:2009-08-20 Online:2011-01-20 Published:2011-01-20
Supported by:
Research was supported by NNSF Grant of China (11071229).

摘要/Abstract

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-is the 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

Abstract:

Key words: Finite groups, local formations, F-z-supplemented subgroups, supersoluble groups, p-nilpotent groups

中图分类号:

20D10

郭文彬, 唐娜, 李保军. ON F-z-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS[J]. 数学物理学报(英文版), 2011, 31(1): 22-28.

GUO Wen-Bin, TANG Na, LI Bao-Jun. ON F-z-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS[J]. Acta mathematica scientia,Series B, 2011, 31(1): 22-28.

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ON F-z-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS

ON F-z-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS

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