Exceptional groups of Lie type and flag-transitive triplanes

被引:0
|
作者
ZHOU ShengLin & DONG HuiLi Department of Mathematics
机构
关键词
symmetric design; triplane; flag-transitive; point-primitive; exceptional groups of Lie type;
D O I
暂无
中图分类号
O157.5 [图论];
学科分类号
摘要
A triplane is a ( v, k, 3)-symmetric design. Let G be a subgroup of the full automorphism group of a triplane D. In this paper we prove that if G is flag-transitive and point-primitive, then the socle of G cannot be a simple exceptional group of Lie type.
引用
收藏
页码:447 / 456
页数:10
相关论文
共 50 条
  • [1] Exceptional groups of Lie type and flag-transitive triplanes
    ShengLin Zhou
    HuiLi Dong
    Science China Mathematics, 2010, 53 : 447 - 456
  • [2] Exceptional groups of Lie type and flag-transitive triplanes
    Zhou ShengLin
    Dong HuiLi
    SCIENCE CHINA-MATHEMATICS, 2010, 53 (02) : 447 - 456
  • [3] Alternating groups and flag-transitive triplanes
    Zhou, Shenglin
    Dong, Huili
    DESIGNS CODES AND CRYPTOGRAPHY, 2010, 57 (02) : 117 - 126
  • [4] Alternating groups and flag-transitive triplanes
    Shenglin Zhou
    Huili Dong
    Designs, Codes and Cryptography, 2010, 57 : 117 - 126
  • [5] Affine groups and flag-transitive triplanes
    Dong HuiLi
    Zhou ShengLin
    SCIENCE CHINA-MATHEMATICS, 2012, 55 (12) : 2557 - 2578
  • [6] Sporadic groups and flag-transitive triplanes
    Zhou ShengLin
    Dong HuiLi
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (02): : 394 - 400
  • [7] Sporadic groups and flag-transitive triplanes
    ZHOU ShengLin1 & DONG HuiLi2 1 Department of Mathematics
    Science China Mathematics, 2009, (02) : 394 - 400
  • [8] Affine groups and flag-transitive triplanes
    DONG HuiLi & ZHOU ShengLin Department of Mathematics
    Science China(Mathematics), 2012, 55 (12) : 2553 - 2574
  • [9] Sporadic groups and flag-transitive triplanes
    ZHOU ShengLin DONG HuiLi Department of Mathematics South China University of Technology Guangzhou China Department of Mathematics Shantou University Shantou China
    ScienceinChina(SeriesA:Mathematics), 2009, 52 (02) : 394 - 400
  • [10] Affine groups and flag-transitive triplanes
    HuiLi Dong
    ShengLin Zhou
    Science China Mathematics, 2012, 55 : 2557 - 2578