On the symmetric 2-(v, k, λ ) designs with a flag-transitive point-imprimitive automorphism group

被引:4
作者
Montinaro, Alessandro [1 ]
机构
[1] Univ Salento, Dipartimento Matemat & Fis E Giorgi, Lecce, Italy
关键词
Symmetric design; Automorphism group; Flag-transitive design; PERMUTATION-GROUPS; SUBGROUPS; RANK;
D O I
10.1016/j.jalgebra.2024.05.002
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The symmetric 2-(v, k, )) designs with k > ) () - 3) /2 admitting a flag-transitive point-imprimitive automorphism group are completely classified: they are the known 2-designs with parameters (16, 6, 2), (45, 12, 3), (15, 8, 4) or (96, 20, 4). (c) 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).
引用
收藏
页码:54 / 101
页数:48
相关论文
共 42 条
[1]  
AIGNER M., 2014, Proofs from the book, V5th
[2]   Large subgroups of simple groups [J].
Alavi, Seyed Hassan ;
Burness, Timothy C. .
JOURNAL OF ALGEBRA, 2015, 421 :187-233
[3]  
[Anonymous], 1983, London Mathematical Society Lecture Note Series
[4]  
Aschbacher M., 1986, Mem. Am. Math. Soc.., V343
[5]   Overgroups of cyclic Sylow subgroups of linear groups [J].
Bamberg, John ;
Penttila, Tim .
COMMUNICATIONS IN ALGEBRA, 2008, 36 (07) :2503-2543
[6]  
Bray JN, 2013, LOND MATH S, V407, P1, DOI 10.1017/CBO9781139192576
[7]  
CAMINA AR, 1990, J LOND MATH SOC, V41, P555
[8]  
CONWAY JS, 1985, ALA AGR EXP STA BULL, P1
[9]   FLAG-TRANSITIVITY AND PRIMITIVITY [J].
DAVIES, H .
DISCRETE MATHEMATICS, 1987, 63 (01) :91-93
[10]  
Dembowski P., 1968, Finite Geometries