Journal of Guangxi Normal University(Natural Science Edition) ›› 2011, Vol. 29 ›› Issue (2): 31-34.

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2-maximal Subgroups of Sylow Subgroups and p-nilpotency of Finite Groups

CHEN Yun-kun1,2, LI Xian-hua2   

  1. 1.School of Mathematics and Computer Science,Guizhou NormalUniversity,Guiyang Guizhou 550001,China;
    2.School of Mathematics,Soochow University,Suzhou Jiangsu 215006,China
  • Received:2011-01-25 Published:2018-11-19

Abstract: This paper discusses the influence of weakly s-permutable properties of subgroups on the structure of finite groups.Using the condition that the 2-maximal subgroups of a given Sylow p-subgroup of G are weakly s-permutable in G,some sufficient conditions on p-nilpotency of finite groups are obtained.This research generalises some of the recentresults.

Key words: finite group, weakly s-permutable subgroup, p-nilpotent group

CLC Number: 

  • O152.1
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