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有限群极大子群的s-θ-完备与π-可解性 被引量:2

On the s-θ-completions of maximal subgroups and the π-solvability of a finite group
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摘要 定义一些极大子群的集合,通过研究极大子群的s-θ-完备对群结构的影响,给出有限群为π-可解的一些新刻画. Define some sets for maximal subgroups, and by investigating the influence of s-θ-completions of maximal subgroups on the structure of finite groups, some new characterizations of the π-solvability of a finite group are obtained.
出处 《纯粹数学与应用数学》 CSCD 2009年第2期346-350,共5页 Pure and Applied Mathematics
基金 广西科学基金资助项目(桂科自0991090) 广西研究生教育创新计划项目(2007106020701M51)
关键词 极大子群 s-θ-完备 Π-可解群 maximal subgroups, s-θ-completion, π-solvable groups
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参考文献12

  • 1Deskins W E.On maximal subgroups[J].Proc.Sympos.in Pure Math.(Amer.Math.Soc.),1959,1:100-104.
  • 2Deskins W E.A note on the index complex of a maximal subgroup[J].Arch.Math.(Basel),1990,54:236-240.
  • 3Mukherjes N P,Bhattacharya P.On theta pairs for a maximal subgroup[J].Proc.Amer.Math.Soc.,1990,109:585-596.
  • 4Zhao Y Q.On the Dcskins completions,theta completions and theta pairs for maximal subgroups(1)[J].Comm.Algebra,1998,26:3141-3164.
  • 5杜妮,李世荣.关于有限群极大子群的强θ-完备[J].数学年刊(A辑),2006,27(2):279-286. 被引量:7
  • 6Du N,Li S R.On the F-abnormal maximal subgroups of finite groups[J].J.Pure Appl.Algebra,2006,208(1):345-349.
  • 7Bhattacharya P,Mukherjee N P.On the intersection of a class of a maximal subgroups of finite groups Ⅱ[J].J.Pure Appl.Algebra,1986,42:117-124.
  • 8Beidleman H C,Spencer A E.The normal index of maximal subgroups[J].Illinois J.Math.,1972,16:95-101.
  • 9Mukherjee N P.A note on normal index and maximal subgroups[J].J.Math.,1975,75:173-178.
  • 10Dutta T K,Sen P.Some characterisation of π-solwble groups using index-complex[J].Indian J.Pure Appl.Math.,2002,33:555-564.

二级参考文献22

  • 1赵耀庆.有限群极大子群的θ-子群偶[J].数学学报(中文版),1997,40(1):67-72. 被引量:24
  • 2徐明耀.有限群导引(上册)[M].北京:科学出版社,1999..
  • 3Conway,J. etal. Atlas of finite groups[M]. Londcn,Oxford Univ. Press, 1985.
  • 4Assad,M. Finite groups some of whose n-maximal subgroups are normal[J]. Acta Math. Hung,1988,54(1-2) :9-27.
  • 5Foguel ,T. Conjugate-permutable subgroups[J]. Journel of Algebra, 1997,191: 235- 239.
  • 6Thompson,J. G. Nonsolvable finite groups all of whose local subgroups are solvable,I[J]. Bull. Amer.Math. Soc, 1968,74: 383- 437.
  • 7Deskins W.E.,On maximal subgroups[J].Proc.Sympos.in Pure Math.,Amer.Math.Soc.,1959,1:100-104.
  • 8Deskins W.E.,A note on the index complex of a maximal subgroup[J].Arch.Math.(Basel),1990,54:236-240.
  • 9Mukherjee N.P.and Bhattacharya P.,On theta pairs for a maximal subgroup[J].Proc.Amer.Math.Soc.,1990,109:585-596.
  • 10Li S.R.and Zhao Y.Q.,The Deskins index complex and the solvability of finite groups[J].Southeast Asian Bulletin of Mathematics,1998,22:291-299.

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