Frontiers of Mathematics in China >

2011 , Vol. 6 >Issue 1: 161 - 175

DOI: https://doi.org/10.1007/s11464-010-0081-x

RESEARCH ARTICLE

Weakly s-semipermutable subgroups of finite groups

  • Yong XU ,
  • Xianhua LI
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  • School of Mathematical Science, Soochow University, Suzhou 215006, China

Received date: 06 May 2010

Accepted date: 13 Aug 2010

Published date: 01 Feb 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

In this paper, we introduce the concept of weakly s-semipermutable subgroups. Let G be a finite group. Using the condition that the minimal subgroups or subgroups of order p2 of a given Sylow p-subgroup of G are weakly s-semipermutable in G, we give a criterion for p-nilpotency of G and get some results about formation.

Key words： weakly s-semipermutable subgroup; p-nilpotency; formation

Cite this article

Yong XU , Xianhua LI . Weakly s-semipermutable subgroups of finite groups[J]. Frontiers of Mathematics in China, 2011 , 6(1) : 161 -175 . DOI: 10.1007/s11464-010-0081-x

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