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关于共轭极大子群的一个注记 被引量:2

A Note on Conjugate Maximal Subgroups
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摘要 研究n-极大子群皆共轭(或同阶)的有限群,给出了2≤n≤4时n-极大子群皆共轭(或同阶)的有限群的完全分类。 Finite groups all of whose n-maximal subgroups are conjugate or have the same order are investigated,and a complete classification of finite groups all of whose n-maximal subgroups are conjugate or have the same order is given when 2≤n≤4.
出处 《广西师范大学学报(自然科学版)》 CAS 北大核心 2010年第1期10-12,共3页 Journal of Guangxi Normal University:Natural Science Edition
基金 国家自然科学基金资助项目(10871032) “Agencija za raziskovalno dejavnost Republike Slovenije”Proj mladi raziskovalci “Agencija za raziskovalno dejavnost Republike Slovenije”Research Program(P1-0285)
关键词 有限群 n-极大子群 共轭 finite group n-maximal subgroup conjugate
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参考文献14

  • 1ADNAN S.On groups having exactly 2 conjugacy classes of maximal subgroups[J].Lincei-Rend Sc Fis Mat Enat,1979,66:175-178.
  • 2ADNAN S.On groups having exactly 2 conjugacy classes of maximal subgroups Ⅰ[J].Ibid,1980,68:179.
  • 3BELONOGOV V A.Finite groups with three classes of maximal subgroups[J].Math USSR Sb,1988,59 (1):223-236.
  • 4张翠,史江涛,施武杰.交错群和对称群的一个新刻画[J].数学年刊(A辑),2009,30(2):281-290. 被引量:4
  • 5LIEBECK M W,MARTIN B M S,SHALEV A.On conjugacy classes of maximal subgroups of finite simple groups,and a related zeta function[J].Duke Math J,2005,128(3):541-557.
  • 6KIANI D,RAMEZAN-NASSAB M.Maximal subgroups of GLn (D) with finite conjugacy classes[J].Manuscripta Mathematica,2009,130 (3):287-293.
  • 7施武杰.极大子群同阶类类数不大于2的有限群[J].数学年刊(A辑),1989,10(5):532-537. 被引量:13
  • 8黎先华.极大子群同阶类类数=3的有限群[J].数学学报(中文版),1994,37(1):108-115. 被引量:14
  • 9李世荣.非正规极大子群同阶类类数=2的有限群[J].数学学报(中文版),1990,33(3):388-392. 被引量:14
  • 10THOMPSON J G.Nonsolvable finite groups all of whose local subgroups are solvable[J].Bull Amer Math Soc,1968,74(3),383-437.

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同被引文献15

  • 1黎先华.极大子群同阶类类数=3的有限群[J].数学学报(中文版),1994,37(1):108-115. 被引量:14
  • 2施武杰.极大子群同阶类类数不大于2的有限群[J].数学年刊(A辑),1989,10(5):532-537. 被引量:13
  • 3Pazderski G. Uber maximale Untergruppen endlicher Gruppen [J]. Math. Nachr., 1963/1964, 26: 307-319.
  • 4Ku M Y. Another proof for the solvability of finite groups with at most two conjugacy classes of maximal subgroups[J]. Chinese Ann. Math. Ser. B, 1985, 6(2): 211-213.
  • 5Belonogov V A. Finite groups with three classes of maximal subgroups [J]. Math. Sb., 1986, 131: 225-239.
  • 6Robinson D J S. A Course in the Theory of Groups (Second Edition) [M]. New York: Springer- Verlag, 1996: 303.
  • 7Rose J S. On finite insoluble groups with nilpotent maximal subgroups [J]. J Algebra, 1977, 48: 182-196.
  • 8Belonogov V A. Finite groups with a single class of non-nilpotent maximal subgroups [J]. Sibirsk. Mat. Z., 1964, 5: 987-995.
  • 9Berkovi J G. On solvable groups of finite order [J]. Math. USSR-Sbornik, 1967, 3(1): 69-83.
  • 10胡佩特[德].有限群论(中译本第一卷)[M].福州:福建人民出版社,1992:256.

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