A Classification of the Flag-Transitive 2-(v, 3, λ ,)Designs With v ≡ 1, 3 (mod 6) and v ≡ 6(mod λ)

被引:0
作者
Montinaro, Alessandro [1 ]
Francot, Eliana [1 ]
机构
[1] Univ Salento, Dipartimento Matemat & Fis E Giorgi, Lecce, Italy
关键词
2-design; automorphism group; flag-transitive; orbitl; PERMUTATION-GROUPS;
D O I
10.1002/jcd.21978
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we provide a complete classification of the 2-(v, 3, lambda) designs with v equivalent to 1, 3 (mod 6) and v equivalent to 6 (mod lambda) admitting a flag-transitive automorphism group non-isomorphic to a subgroup of A Gamma L-1(v).
引用
收藏
页码:217 / 221
页数:5
相关论文
共 18 条
  • [1] [Anonymous], 1967, Die Grundlehren der mathematischen Wissenschaften
  • [2] THE CLASSIFICATION OF ALMOST SIMPLE 3/2-TRANSITIVE GROUPS
    Bamberg, John
    Giudici, Michael
    Liebeck, Martin W.
    Praeger, Cheryl E.
    Saxl, Jan
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 365 (08) : 4257 - 4311
  • [3] Two-transitive orbits in finite projective planes
    Biliotti, Mauro
    Francot, Eliana
    [J]. JOURNAL OF GEOMETRY, 2005, 82 (1-2) : 1 - 24
  • [4] BUEKENHOUT F, 1990, GEOMETRIAE DEDICATA, V36, P89
  • [5] CONWAY JS, 1985, ALA AGR EXP STA BULL, P1
  • [6] FLAG-TRANSITIVITY AND PRIMITIVITY
    DAVIES, H
    [J]. DISCRETE MATHEMATICS, 1987, 63 (01) : 91 - 93
  • [7] DOUBLY HOMOGENEOUS 2-(V,K,1) DESIGNS
    DELANDTSHEER, A
    DOYEN, J
    SIEMONS, J
    TAMBURINI, C
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 1986, 43 (01) : 140 - 145
  • [8] Delandtsheer A, 2001, ALGEBRAIC COMBINATORICS AND APPLICATIONS, P79
  • [9] Dembowski P., 1968, Finite Geometries
  • [10] Foulser D. A., 1978, Geom. Dedic., V7, P111