期刊文献+

有限可解群的特征标表中零点的分布状态对群结构的影响(英文)

The Distribution of Zeros in the Character Tables and the Structure of Finite Groups
下载PDF
导出
摘要 设G是一个有限可解非幂零群.研究了特征标表中F(G)外零点很少的有限群G的结构. Let G be a non-nilpotent solvable group.The aim of this note is to investigate the finite group G with a small number of zeros outside F(G) in the character table,where F(G) is the Fitting subgroup of G.
出处 《西南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第5期1-6,共6页 Journal of Southwest China Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10871032) 高等学校博士学科点专项科研基金资助项目(20060285002) 四川省教育厅科研基金
关键词 有限群 特征标 零元 幂零长 finite groups characters zeros nilpotent length
  • 相关文献

参考文献12

  • 1Isaacs I M. Characters of Finite Groups [M]. New York: Academic Prees, 1976.
  • 2QIAN Guo-hua. Bounding The Fitting Height of a Solvable Group by The Number of Zeros in a Character Table [J]. Proc Amer Math Soc, 2002, 130:3171-3176.
  • 3任永才,刘晓华,张金山.关于有限群的不可约特征标的限制和零元的注记[J].四川大学学报(自然科学版),2007,44(6):1183-1188. 被引量:2
  • 4QIAN Guo-hua, SHI Wu-jie, YOU Xing-zhong. Conjugacy Classes Outside a Normal Subgroup [J]. Comm Algebra, 2004, 32(12) : 4809 --4820.
  • 5Huppet B. Endlich Gruppen I [M]. Berlin: Springer-Verlag, 1967.
  • 6James G, Liebeck M. Representations and Character of Groups [M]. Cambridge: Cambridge University Press, 1993.
  • 7Dark R, Seoppola C M. On Camina Groups of Prime Power Order [J].J Algebra, 1996, 181:787-802.
  • 8Bianchi M, Chillag D, Gillio A. Finite Groups in which Every Irreducible Character Vanishes on at Most Two Conjugacy Classes [J].Houston J Math, 2000, 26:451-461.
  • 9ZHANG Jin Shan,Sill Wu Jie.A Note on Zeros of Characters of Finite Groups[J].Journal of Mathematical Research and Exposition,2008,28(3):589-592. 被引量:1
  • 10刘晓华.关于DMD-群的注记[J].西南师范大学学报(自然科学版),2004,29(4):562-565. 被引量:2

二级参考文献26

  • 1陈贵云.Frobenius群与2-Frobenius群的结构[J].西南师范大学学报(自然科学版),1995,20(5):485-487. 被引量:41
  • 2张广祥.恰有二个非线性不可约特征标的有限群[J].数学年刊(A辑),1996,1(2):227-232. 被引量:2
  • 3Berkovich Y, Issacs I M, Kazarin L. Groups with Distinct Monolithic Character Degrees [J]. J Algebra, 1999, 216:448-480.
  • 4Isaacs I M. Character Theory of Finite Groups [M]. New York: Academic Prees, 1976.
  • 5Berkovich Y, Chillag D, Herzog M. Finite Groups in Which all Nonlinear Irreducible Characters have Distinct Degrees [J]. Proc Amer Math Soc, 1992, 106:3263 - 3268.
  • 6Seits G. Finite Groups Having Only one Irreducible Representation of Degree Geater than One [J]. Proc Amer Math Soc, 1968, 19:459 - 461.
  • 7Huppert B. Endliche Gruppen I [M]. Berlin Heidelberg New York: Springer-Verlag, 1979.
  • 8Bercovich Y. Finite Groups in which the Degrees of Non-linear Constituents of Some Induced Characters are Distinct [J]. Publ Math Debrecen, 1994, 44(3 - 4): 225 - 234.
  • 9Kuisch E B, Waall W V D. Homogeneous Character Induction [J]. J Algebra, 1992, 149:453 -471.
  • 10Gorenstein D. Finite Groups [M]. New York: Harper and Row, 1968.

共引文献13

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部