RESEARCH ARTICLE

On h-normal subgroups of finite groups

  • Xiuxian FENG 1 ,
  • Wenbin GUO , 1,2
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  • 1. Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China
  • 2. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

Received date: 23 Oct 2009

Accepted date: 08 Mar 2010

Published date: 05 Dec 2010

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

Abstract

Let G be a finite group, and let be a formation of finite groups. We say that a subgroup H of G is h-normal in G if there exists a normal subgroup T of G such that HT is a normal Hall subgroup of G and (HT )HG/HG is contained in the -hypercenter Z(G/HG) of G/HG. In this paper, we obtain some results about the h-normal subgroups and then use them to study the structure of finite groups.

Cite this article

Xiuxian FENG , Wenbin GUO . On h-normal subgroups of finite groups[J]. Frontiers of Mathematics in China, 2010 , 5(4) : 653 -664 . DOI: 10.1007/s11464-010-0062-0

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