期刊文献+

半覆盖远离性与有限群的结构 被引量:2

Semi Cover-Avoiding Property and Structure of Finite Groups
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摘要 利用Sylow子群的极大子群或者具有半覆盖远离性或者半正规,给出了有限群为超可解群的一些充分条件,推广了几个已有的结果. In this paper, several sufficient conditions for a finite group to be supersolvable are given by means of maximal subgroups of Sylow subgroups having either semi cover-avoiding property or seminormal property, and several known results are generalized.
机构地区 上海大学理学院
出处 《上海大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第3期244-247,共4页 Journal of Shanghai University:Natural Science Edition
基金 国家自然科学基金资助项目(10471085) 上海大学研究生创新基金资助项目
关键词 半覆盖远离性 半正规性 超可解 semi cover-avoiding property semi-normal property supersolvable subgroups
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参考文献5

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二级参考文献6

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共引文献57

同被引文献11

  • 1何鸣,张雪梅,缪龙.子群的π-可补性对群结构的影响[J].扬州大学学报(自然科学版),2005,8(1):1-3. 被引量:5
  • 2樊恽,郭秀云,岑嘉评.关于子群的两种广义正规性的注记[J].数学年刊(A辑),2006,27(2):169-176. 被引量:33
  • 3SKIBA A N.On weakly s-permutable subgroups of finite groups [J].J Algebra,2007,315(1):192-209.
  • 4MIAO Long,LEMPKEN W.On m-supplemented subgroups of finite groups [J].J Group Theory,2009,12(2):271-287.
  • 5ASAADM.Finite groups with certain subgroups of Sylow subgroups complemented [J].J Algebra,2010,323(7):1958-1965.
  • 6MONAKHOV V S,SHNYPARKOV A V.On the p-supersolubility of a finite group with a p-supplemented Sylow p-subgroup [J].Siberian Math J,2009,50(4):681-686.
  • 7MIAO Long,LEMPKEN W.On weakly m-supplemented primary subgroups of finite groups [J].Turk J Math,2010,34(4):489-500.
  • 8TANG Juping,MIAO Long.On mp-supplemented subgroups of finite groups[J].Commun Algebra,2013,41(5):1913-1922.
  • 9杨元韡,黎先华.半CAP-子群与有限群的性质(英文)[J].苏州大学学报(自然科学版),2008,24(2):1-6. 被引量:1
  • 10A.BALLESTER-BOLINCHES,Luis M.EZQUERRO,Alexander N.SKIBA.Local Embeddings of Some Families of Subgroups of Finite Groups[J].Acta Mathematica Sinica,English Series,2009,25(6):869-882. 被引量:16

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