期刊文献+

特殊极大子群的S-θ-完备与有限群的可解性 被引量:2

S-θ-Completions of Special Maximal Subgroups and Solvability of Finite Groups
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摘要 讨论有限群的特殊极大子群的S-θ-完备对该群可解性的影响,得到一系列充分必要条件,推广了该方面已有的一些结论. This paper discusses the influence over a family of special maximal subgroups of a finite group on the structure of the group and setablishes some necessary and sufficient conditions for a group to be solvable. Several proved conclusions in the field are generalized.
作者 杨立英
出处 《广西师范学院学报(自然科学版)》 2008年第4期18-21,共4页 Journal of Guangxi Teachers Education University(Natural Science Edition)
基金 国家自然科学基金(10771095) 广西自然科学基金(0447038) 广西科学基金(0575052 0832107) 广西教育厅科研资助项目
关键词 极大子群 正规子群 S-θ完备 可解 finite group maximal subgroup S - θ - Completion solvable
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参考文献13

  • 1BAER R. Classes of finite groups and their properties[J]. Illinois J Math, 1957, (1): 115-187.
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  • 6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
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二级参考文献18

  • 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
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  • 3Beidlman J C, Spencer A E. The normal index of maximal subgroups in finite groups[J]. Illinois J Math, 1972,169:95 -101.
  • 4WANG Yan-ming. Normal of Groups and Its Properties[J]. Journal of Algebra,1996, (180) :954 - 965.
  • 5Huppert B. Endliche Gruppen I[M]. Berlin:Springer,1967.
  • 6Mukherjee N P. Bhattacharya P. On theta pairs for a maximal subgroup[J ]. Proc Amer Math Soc, 1990,109(3):589-596.
  • 7Deskins W E. On maximal subgroups[J]. Proc Symp Pure Math Amer Math Soc, 1959, (L): 100 - 104.
  • 8ZHAO Yao-qing. On the Deskins Completions and Theta Completions for Maximal Subgroups[J]. Communication in Algebra, 2000,28 (1): 375 - 385.
  • 9HUPPERT B.Endliche Gruppen I[M].Berlin:Springer,1967.
  • 10WANG Yan-ming.C-normality and solvability of groups[J].Journal of Pure and Algebra,1996(110):315-320.

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