Affine groups and flag-transitive triplanes

被引：10
|
作者：
Dong HuiLi [1 ]
Zhou ShengLin [1 ]
机构：
[1] S China Univ Technol, Dept Math, Guangzhou 510640, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2012年 / 55卷 / 12期
基金：
中国国家自然科学基金;
关键词：
symmetric design; triplane; flag-transitive; point-primitive; affine group; FINITE LINEAR-SPACES; PROJECTIVE-REPRESENTATIONS; PERMUTATION-GROUPS; CLASSIFICATION;
D O I：
10.1007/s11425-012-4476-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let D be a nontrivial 2-(v, k, 3) symmetric design (triplane) and let G <= Aut(D) be flag-transitive and point-primitive. In this paper, we prove that if G is an affine group, then G <= A Gamma L-1(q), where q is some power of a prime p and p >= 5.
引用
收藏
页码：2557 / 2578
页数：22
相关论文
共 50 条
  • [1] Affine groups and flag-transitive triplanes
    HuiLi Dong
    ShengLin Zhou
    [J]. Science China Mathematics, 2012, 55 : 2557 - 2578
  • [2] Affine groups and flag-transitive triplanes
    DONG HuiLi & ZHOU ShengLin Department of Mathematics
    [J]. Science China Mathematics, 2012, 55 (12) : 2553 - 2574
  • [3] Alternating groups and flag-transitive triplanes
    Zhou, Shenglin
    Dong, Huili
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2010, 57 (02) : 117 - 126
  • [4] Alternating groups and flag-transitive triplanes
    Shenglin Zhou
    Huili Dong
    [J]. Designs, Codes and Cryptography, 2010, 57 : 117 - 126
  • [5] Sporadic groups and flag-transitive triplanes
    Zhou ShengLin
    Dong HuiLi
    [J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (02): : 394 - 400
  • [6] 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
    [J]. ScienceinChina(SeriesA:Mathematics)., 2009, 52 (02) - 400
  • [7] Sporadic groups and flag-transitive triplanes
    ZHOU ShengLin1 & DONG HuiLi2 1 Department of Mathematics
    [J]. Science China Mathematics, 2009, (02) : 394 - 400
  • [8] Sporadic groups and flag-transitive triplanes
    ShengLin Zhou
    HuiLi Dong
    [J]. Science in China Series A: Mathematics, 2009, 52
  • [9] Finite classical groups and flag-transitive triplanes
    Zhou, Shenglin
    Dong, Huili
    Fang, Weidong
    [J]. DISCRETE MATHEMATICS, 2009, 309 (16) : 5183 - 5195
  • [10] Exceptional groups of Lie type and flag-transitive triplanes
    ZHOU ShengLin & DONG HuiLi Department of Mathematics
    [J]. Science China Mathematics, 2010, 53 (02) : 447 - 456
12345