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关于有限群可解的充要条件 被引量:2

Sufficient and Necessary Conditions for a Finite Group to Be Solvable
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摘要 讨论有限群的特殊极大子群对该群可解性的影响,并得出若干充要条件. This paper discusses the influence over a family of special maximal subgroups of a finite group on the structure of the group and establishes some necessary and sufficient conditions for a group to be solvable.
作者 杨立英
出处 《广西师范学院学报(自然科学版)》 2004年第2期1-3,共3页 Journal of Guangxi Teachers Education University(Natural Science Edition)
基金 广西自然科学基金(0229021)
关键词 有限群 极大子群 正规指数 子群偶 finite group maximal subgroup index θ-pair
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参考文献8

  • 1Deskins W E. On maximal subgroups[J]. Proc Symp Pure Math Amer Math Soc, 1959, (L): 100 - 104.
  • 2ZHAO Yao-qing. On the Deskins Completions and Theta Completions for Maximal Subgroups[J]. Communication in Algebra, 2000,28 (1): 375 - 385.
  • 3Baer R. Class of finite groups and their properties[J]. Illinois J Math, 1957, (L): 115 - 187.
  • 4Beidlman J C, Spencer A E. The normal index of maximal subgroups in finite groups[J]. Illinois J Math, 1972,169:95 -101.
  • 5WANG Yan-ming. Normal of Groups and Its Properties[J]. Journal of Algebra,1996, (180) :954 - 965.
  • 6Huppert B. Endliche Gruppen I[M]. Berlin:Springer,1967.
  • 7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
  • 8Mukherjee N P. Bhattacharya P. On theta pairs for a maximal subgroup[J ]. Proc Amer Math Soc, 1990,109(3):589-596.

共引文献23

同被引文献19

  • 1杨立英,李世余.有限群可解的若干充分必要条件[J].广西师范大学学报(自然科学版),2006,24(3):42-45. 被引量:4
  • 2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
  • 3BAER R. Classes of finite groups and their properties[J]. Illinois J Math, 1957, (1): 115-187.
  • 4MUKHERJEE N P, BHATTACHARYA P. On theta pairs for a maximal subgroup [J]. Proc Amer Math Soc, 1990, 109(3) :589-596.
  • 5ZHAO Yaoqing. On the deskins completions, theta completions and theta pairs for maximal subgroups[J]. Comm In Algebra, 1998,26 : 3155-3164.
  • 6LI Shirong, ZHAO Yaoqing. The Deskins index complex and the solvability of groups[J ]. Southeast Asian Bulletin of Mathematics, 1998,22 : 291-299.
  • 7DU Ni, LI Shirong. On the F-abnormal maximal subgroups of finite groups[J]. J Pure Appl Algebra, 2006, 208(1): 345-349.
  • 8GUO Xiuyun, SHUM K P. Cover-avoidance properties and the structure of finite groups[J]. Journal of Pure and Algebra 2003, (181): 297-308.
  • 9MUKHERJEE N P. A note on normal index and maximal subgroups[J]. J Math, 1975, 75. 173-178.
  • 10ROSE J S. On finite insolvable groups and with nilpotent maximal subgroups[J]. J Algebra, 1977,48: 182-196.

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