期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

On s-semipermutable Subgroups of Finite Groups 被引量：4

On s-semipermutable Subgroups of Finite Groups
原文传递
导出
摘要 Suppose that G is a finite group and H is a subgroup of G. We say that H is ssemipermutable in G if HGv = GpH for any Sylow p-subgroup Gp of G with （p, ｜H｜） = 1. We investigate the influence of s-semipermutable subgroups on the structure of finite groups. Some recent results are generalized and unified. Suppose that G is a finite group and H is a subgroup of G. We say that H is ssemipermutable in G if HGv = GpH for any Sylow p-subgroup Gp of G with （p, ｜H｜） = 1. We investigate the influence of s-semipermutable subgroups on the structure of finite groups. Some recent results are generalized and unified.
作者 Yang Ming LI Xuan Li HE Yan Ming WANG
机构地区 Department of Mathematics Department of Mathematics Department of Mathematics and Lingnan College
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第11期2215-2222,共8页 数学学报（英文版）
基金 Supported by National Natural Science Foundation of China (Grant No.10871210) Natural Science Foundation of Guangdong Province (Grant No.06023728)
关键词 s-semipermutable subgroup the generalized Fitting subgroup p-nilpotent group saturated formation s-semipermutable subgroup, the generalized Fitting subgroup, p-nilpotent group, saturated formation
分类号 O152.1 [理学—基础数学] TP393.092 [自动化与计算机技术—计算机应用技术]
  • 相关文献

参考文献15

  • 1Huppert, B.: Endliche Gruppen I, Springer-Verlag, New York, 1967.
  • 2Kegel, O. H.: Sylow-Gruppen und Subnormalteiler endlicher Gruppen. Math. Z., 78, 205-221 (1962).
  • 3Chen. Z. M.: On a theorem of Srinivasan. J. Southwest Normal Univ. Nat. Sci., 12(1), 1-4 (1987).
  • 4Asaad, M.: On maximal subgroups of Sylow subgroups of finite group. Comm. Algebra, 26, 3647-3652 (1998).
  • 5Asaad, M., Csorgo, P.: Influence of minimal subgroups on the structure of finite group. Arch. Math. (Basel), 72, 401-404 (1999).
  • 6Asaad, M., Ramadan, M., Shaalan, A.: Influence of π-quasinormality on maximal subgroups of Sylow subgroups of Fitting subgroups of a finite group. Arch. Math. (Basel), 56, 521-527 (1991).
  • 7Ballester-Bolinches, A., Pedraza-Aguilera, M. C.: On minimal subgroups of a finite group. Acta Math. Hungar., 73, 335-342 (1996).
  • 8Guo, X, Y., Wang, L. L.: On finite groups with some semi cover-avoiding subgroups. Acta Mathematica Sinica, English Series, 23, 1689 1696 (2007).
  • 9Li, Y., Wang, Y.: The influence of minimal subgroups on the structure of a finite group. Proc. Amer Math. Sot., 131, 337 -341 (2003).
  • 10Li, Y., Wang, Y., Wei, H.: The influence of π-quasinormality of some subgroups of a finite group. Arch. Math. (Basel), 81, 245-252 (2003).

同被引文献18

引证文献4

二级引证文献4

Acta Mathematica Sinica,English Series
2010年 第11期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部