Reduction for primitive flag-transitive (ν, k, 4)-symmetric designs

被引:15
|
作者
O'Reilly-Regueiro, Eugenia [1 ]
机构
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico
关键词
Flag-transitive; Primitive group; Symmetric design;
D O I
10.1007/s10623-009-9341-8
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
It has been shown that if a (nu, k, lambda)-symmetric design with lambda <= 3 admits a flag-transitive automorphism group G which acts primitively on points, then G must be of affine or almost simple type. Here we extend the result to lambda = 4.
引用
收藏
页码:61 / 63
页数:3
相关论文
共 50 条
  • [1] Reduction for primitive flag-transitive (v, k, 4)-symmetric designs
    Eugenia O’Reilly-Regueiro
    [J]. Designs, Codes and Cryptography, 2010, 56 : 61 - 63
  • [2] Reduction for primitive flag-transitive symmetric 2-(ν, k, λ) designs with λ prime
    Zhang, Yongli
    Zhang, Zhilin
    Zhou, Shenglin
    [J]. DISCRETE MATHEMATICS, 2020, 343 (06)
  • [3] On primitivity and reduction for flag-transitive symmetric designs
    Regueiro, EO
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2005, 109 (01) : 135 - 148
  • [4] Flag-Transitive Point-Primitive Symmetric (υ, k, λ) Designs With λ at Most 100
    Tian, Delu
    Zhou, Shenglin
    [J]. JOURNAL OF COMBINATORIAL DESIGNS, 2013, 21 (04) : 127 - 141
  • [5] Reduction for primitive flag-transitive nonsymmetric 2-(v, k, 4) designs
    Zhang, Yongli
    Zhang, Zhilin
    Zhou, Shenglin
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, 19 (12)
  • [6] Flag-transitive point-primitive symmetric (v, k, λ) designs with bounded k
    Zhang, Zhilin
    Yuan, Pingzhi
    Zhou, Shenglin
    [J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2020, 27 (04): : 1 - 20
  • [7] Flag-transitive 2-(v, k, 4) symmetric designs
    Fang, Weidong
    Dong, Huili
    Zhou, Shenglin
    [J]. ARS COMBINATORIA, 2010, 95 : 333 - 342
  • [8] Flag-transitive primitive (v, k, λ) symmetric designs with λ at most 10 and alternating socle
    Dong, Huili
    Zhou, Shenglin
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2014, 13 (06)
  • [9] Flag-Transitive Point-Primitive(v, k, 4)-Symmetric Designs with PSLn(q) as Socle
    Yan ZHU
    Shenglin ZHOU
    [J]. Journal of Mathematical Research with Applications, 2018, 38 (01) : 34 - 42
  • [10] Imprimitive flag-transitive symmetric designs
    Praeger, Cheryl E.
    Zhou, Shenglin
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2006, 113 (07) : 1381 - 1395