Print

：A Criterion on the Finite p-Nilpotent Groups论文

本文主要研究内容

作者（2019）在《A Criterion on the Finite p-Nilpotent Groups》一文中研究指出：Let G be a finite group. Suppose that H is a subgroup of G. We say that H is s-semipermutable in G if HG_p = G_p H for any Sylow p-subgroup G_p of G with(p, |H|) = 1,where p is a prime dividing the order of G. We give a p-nilpotent criterion of G under the hypotheses that some subgroups of G are s-semipermutable in G. Our result is a generalization of the famous Burnside’s p-nilpotent criterion.

Abstract

Let G be a finite group. Suppose that H is a subgroup of G. We say that H is s-semipermutable in G if HG_p = G_p H for any Sylow p-subgroup G_p of G with(p, |H|) = 1,where p is a prime dividing the order of G. We give a p-nilpotent criterion of G under the hypotheses that some subgroups of G are s-semipermutable in G. Our result is a generalization of the famous Burnside’s p-nilpotent criterion.

论文参考文献

  • [1].S-seminormality and P-nilpotency[J]. 王坤仁.  Northeastern Mathematical Journal.2002(02)
  • [2].s-Conditionally Permutable Subgroups and p-Nilpotency of Finite Groups[J]. 刘熠,秦亚.  Journal of Southwest Jiaotong University(English Edition).2010(02)
  • [3].On π-Subpairs of π-Blocks[J]. Jin Ke HAI Department of Mathematics,Qingdao University,Qingdao 266071,P.R.ChinaYi Xin ZHU Department of Mathematics,Capital Normal University,Beijing 100037,P.R.China.  Acta Mathematica Sinica(English Series).2006(06)
  • [4].Finite Groups with Only s-quasinormal and Abnormal Subgroups[J]. 张勤海.  Northeastern Mathematical Journal.1998(01)
  • [5].On p-nilpotency and minimal subgroups of finite groups[J]. 郭秀云,K.P.Shum.  Science in China,Ser.A.2003(02)
  • [6].On Nearly SS-Embedded Subgroups of Finite Groups[J]. Lijun HUO,Wenbin GUO,Alexander A.MAKHNEV.  Chinese Annals of Mathematics(Series B).2014(06)
  • [7].Subgroup Separability of Certain Generalized Free Products of Nilpotent-by-finite Groups[J]. Wei ZHOU,Goansu KIM.  Acta Mathematica Sinica.2013(06)
  • [8].GROUPS WHOSE PROPER QUOTIENTS ARE FINITE—BY—NILPOTENT[J].   成都气象学院学报.1991(01)
  • [9].Onc*-Normal Subgroups in Finite Groups[J]. Hua Quan WEI,Wei Ping GU,Hong Fei PAN.  Acta Mathematica Sinica.2012(03)
  • [10].Minimal inner-Σ-Ω-groups and their applications[J]. LI XianHua & XU Yong School of Mathematical Science,Soochow University,Suzhou 215006,China.  Science China(Mathematics).2011(09)

    • 论文详细介绍

    论文作者分别是来自Journal of Mathematical Research with Applications的，发表于刊物Journal of Mathematical Research with Applications2019年03期论文，是一篇关于,Journal of Mathematical Research with Applications2019年03期论文的文章。本文可供学术参考使用，各位学者可以免费参考阅读下载，文章观点不代表本站观点，资料来自Journal of Mathematical Research with Applications2019年03期论文网站，若本站收录的文献无意侵犯了您的著作版权，请联系我们删除。

    本文来源: https://www.lw00.cn/article/55c4b67f21b72712c300c66a.html