Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (1): 22-28.doi: 10.1016/S0252-9602(11)60204-X

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ON F-z-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS

 GUO Wen-Bin, TANG Na, LI Bao-Jun   

  1. 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).

Abstract:

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 HKZF(G), where ZF(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.

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

CLC Number: 

  • 20D10
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