Articles

ON F-z-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS

  • GUO Wen-Bin ,
  • TANG Na ,
  • LI Bao-Jun
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  • 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 date: 2007-02-18

  Revised date: 2009-08-20

  Online 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.

Cite this article

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 . DOI: 10.1016/S0252-9602(11)60204-X

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