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具有弱s-置换嵌入的准素子群的p-幂零群 被引量：2

p-Nilpotent groups with weakly s-permutably embedded primary subgroups
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摘要 称群G的一个子群H在G中弱s-置换嵌入的,如果存在G的一个次正规子群T和包含在H中的G的一个s-置换嵌入子群Hse,使得G=HT且H∩T≤Hse.利用弱s-置换嵌入子群研究有限群的p-幂零性,推广了以往的一些结果. A subgroup H of a group G was said to be weakly s-permutably embedded in G if the area subnormal subgroup T of G and an s-permutably embedded subgroup Hse of G was contained in H,such that G=HT and H∩T≤ Hse.We investigated the influence of weakly s-permutably embedded subgroups on the p-nilpotency of nitegroups.Some recent results were generalized.
作者 於遒 李长稳
机构地区 淮海工学院理学院 徐州师范大学数学科学学院
出处 《安徽大学学报（自然科学版）》 CAS 北大核心 2011年第1期28-31,共4页 Journal of Anhui University(Natural Science Edition)
基金 国家自然科学资金资助项目(11071229) 江苏省高校自然科学资金资助项目(10KJD110004) 徐州师范大学科研基金资助项目(09XLB01)
关键词 弱s-置换嵌入 P-幂零 Sylowp-子群 weakly s-permutably embedded； p-nilpotent； Sylow p-subgroup
分类号 O152 [理学—基础数学]
  • 相关文献

参考文献15

  • 1Ballester B A,Pedraza M C.Sufficient conditions for supersolvability of finite groups[J].J Pure Appl Algebra,1998,127(2):113-118.
  • 2Wang Yanming.c-Normality of groups and its properties[J].J Algebra,1996,180 (3):954-965.
  • 3Skiba A.On weakly s-permutable subgroups of finite groups[J].J Algebra,2007,315 (1):192-209.
  • 4Li Yangming,Qiao Shouhong,Wang Yanming.On weakly s-permutably embedded subgroups of finite groups[J].Comm Algebra,2009,37(3):1086-1097.
  • 5Guo X Y,Shum K P.Cover-avoidance properties and structure of finite groups[J].J Pure Appl Algebra,2003,181(3):297-308.
  • 6Li Yangming,Wang Yanming,Wei Huaquan.On p-nilpotency of finite groups with some subgroups π-quasinormally embedded[J].Acta Math Hungar,2005,108 (4):283-298.
  • 7Li Yangming,Wang Yanming,Wei Huaquan.The influence of π-quasinormality of somesubgroups of a finite group[J].Arch.Math,2003,81 (3):245-252.
  • 8Guo Wenbin.The theory of classes of groups[M].Beijing:Science Press-Kluwer Academic Publishers,2000:55-56.
  • 9Huppert B.Endiche gruppen I[M].Berlin:Springer-Verlag,1967:233-235.
  • 10Asaad M H.On s-quasinormally embedded subgroups of finite groups[J].J Pure Appl Algebra,2001,165(2):129-135.

同被引文献20

  • 1Ore O. Contributions in the theory of groups of finite groups[J]. J Duke Math, 1939,5(2) :431-460.
  • 2Dekins W E. On qusinormal subgroups of finite groups[J]. Math Z,1963,82(2):125-132.
  • 3Kegel O H. Sylow-gruppen und subnormalteiler endlicher gruppen[J]. Math Z, 1962 : 78 (1) : 205-221.
  • 4Ballester-Bolinches A, Pedraza-Aquilera M C. Sufficient conditions for supersolvable of finite groups[J]. J Pure and Applied Algebra, 1998,127(2) :123-118.
  • 5Li Yangming, Qiao Shouhong, Wang Yanming. On weakly s-permutably embedded subgroups of finite groups[J]. Communications in Algebra, 2009,37 : 1086-1097.
  • 6Miao Long. On weakly s-permutable subgroups of finite groups[J]. Bulletin of the Brazilian Mathematical Society,2010,41(2):223-235.
  • 7Guo Wenbin. The theory of classes of groups[M]. Beijing-Boston: Science Press-Kuwer Aead Pub,2000.
  • 8Gorenstein D. Finite groups[M]. New York.. Chelsea,1980.
  • 9Skiba A N. On weakly s-permutable subgroup of finite groups[J]. J Algebra,2007,315:192-209.
  • 10Li Yangming, Wang Yanming. On 7t-quasinormally embedded subgroups of finite group [J]. J Algebra, 2004,281 (1), 109-123.

引证文献2

二级引证文献1

安徽大学学报（自然科学版）
2011年 第1期

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