期刊文献+

李型单群的一种特征标次数图 被引量:4

A Kind of Garphs of Lie Type Simple Groups
下载PDF
导出
摘要 考虑李型单群的一种特征标次数图,证明了:若G是李型单群,则对任意的m∈cd(G),图Δ(G-m)至多有三个连通分支. In this paper the authors get the conclusion: if G is a simple group of Lie type,then n(Δ(G-m))≤3 for all m∈cd(G).
出处 《西南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第1期26-30,共5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) 教育部博士点基金资助项目(20060285002) 北京市属高校科技创新平台项目(201098)
关键词 李型单群 不可约特征标 特征标次数图 simple groups of Lie type irreducible character character degrees of garphs
  • 相关文献

参考文献13

  • 1HUPPERT B. Character Theory of Finite Groups [M]. Berlin: Walter de Gruyter, 1998.
  • 2ISAACS I M. Character Theory of Finite Groups [M]. New York: Academic Press, 1976.
  • 3MANZ O, WOLF T R. Representations of Solvable Groups [M]. England: Cambridge University Press, 1993.
  • 4梁登峰,李士恒,施武杰.交错单群和散在单群的一种特征标次数图[J].西南师范大学学报(自然科学版),2010,35(1):1-5. 被引量:3
  • 5CARTER R W. Finite Groups of Lie Type: Conjugacy Classes and Complex Characters [M]. New York: Wiley, 1985.
  • 6MICHLER G O. Brauer's Conjectures and the Classification of Finite Simple Groups[M]//Representation Theory VII Groups and Orders, Lecture Notes in Mathematics. Berlin: Springer, 1986: 129- 142.
  • 7CONWAY J H, CURTIS R T, NORTON S P, et al. Atlas of Finite Groups[M]. Oxford: Clarendon Press, 1985.
  • 8SIMPSON W A, FRAME J S. The Character Tables for SL(3, q), SU(3, q^2), PSL(3, q), PSU(3, q^2) [j]. Canad J Math, 1973, 25: 486-494.
  • 9WHITE D L. Degree Graphs of Simple Linear and Unitary Groups [J]. Comm Algebra, 2006, 34:2907 -2921.
  • 10ENOMOTO H. The Characters of the Finite Symplectic Group Sp(4, q), q=2^r[J]. Osaka J Math, 1972(9): 75 -94.

二级参考文献7

  • 1Huppert B. Character Theory of Finite Groups [M]. Berlin: Walter de Gruyter, 1998: 1 --597.
  • 2Isaacs I M. Character Theory of Finite Groups [M]. New York: Academic Press, 1976:1 --291.
  • 3Manz O, Wolf T R. Representations of Solvable Groups [M]. Cambridge: Cambridge University Press, 1993, 227 -- 264.
  • 4James G, Kerber A. The Representation Theory of The Symmetric Group [M]. London: Addison--Wesley, 1981:1 -- 100.
  • 5Michler G O. Brauer's Conjectures and the Classification of Finite Simple Groups [J]. Lecture Notes in Math, 1986, 1178: 129-- 142.
  • 6Alvis D L, Barry M J J. Character Degrees of Simple Groups [J]. Algebra, 1991, 140:116 -- 123.
  • 7Conway J H, Curtis R T, Norton S P, et al. Atlas of Finite Groups [M]. Oxford: Clarendon Press, 1985:1 --242.

共引文献2

同被引文献10

引证文献4

二级引证文献5

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