Non-symmetric 2-designs admitting a two-dimensional projective linear group

被引：15

作者：

Zhan, Xiaoqin ^{[1
]}

Zhou, Shenglin ^{[2
]}

机构：

[1] East China JiaoTong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R China

[2] South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2018年 / 86卷 / 12期

基金：

中国国家自然科学基金;

关键词：

2-Design; Non-symmetric; Automorphism; Flag-transitive; Projective linear group; SYMMETRIC DESIGNS; FLAG; LAMBDA)=1; SPACES;

D O I：

10.1007/s10623-018-0474-5

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper is a contribution to the study of non-symmetric 2-designs admitting a flag-transitive automorphism group. We prove that if D is a non-trivial non-symmetric 2-(v, k,.) design with (r,.) = 1 and G = PSL(2, q) acts flag-transitively on D, then up to isomorphism D is a unique Witt-Bose-Shrikhande space, a unique 2-(6, 3, 2) design, a unique 2-(8, 4, 3) design, a unique 2-(10, 6, 5) design, or a unique 2-(28, 7, 2) design.

引用

页码：2765 / 2773

页数：9

共 50 条

[21] Estimation of Two-Dimensional Non-Symmetric Incoherently Distributed Source with L-Shape Arrays
Wu, Tao
Deng, Zhenghong
Li, Yiwen
Li, Zhengxin
Huang, Yijie
[J]. SENSORS, 2019, 19 (05)
[22] Two-dimensional non-symmetric half-plane recursive doubly complementary digital filters
Lee, Ju-Hong
Yang, Yuan-Hau
[J]. SIGNAL PROCESSING, 2009, 89 (10) : 2027 - 2035
[23] Finite Vertex Bi-Primitive 2-Arc Transitive Graphs Admitting a Two-Dimensional Linear Group
Hu, Xiaohui
[J]. IEEE ACCESS, 2019, 7 : 39983 - 39989
[24] ON SPACE-TIMES WITH A NON-SYMMETRIC FUNDAMENTAL TENSOR ADMITTING A 6-PARAMETER GROUP OF MOTIONS
ABE, S
[J]. TENSOR, 1967, 18 (03): : 289 - &
[25] AN ADDENDUM TO ON SPACE-TIMES WITH A NON-SYMMETRIC FUNDAMENTAL TENSOR ADMITTING A 6-PARAMETER GROUP OF MOTIONS
ABE, S
[J]. TENSOR, 1969, 20 (02): : 210 - &
[26] Normal forms of two-dimensional metrics admitting exactly one essential projective vector field
Manno, Gianni
Vollmer, Andreas
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2020, 135 : 26 - 82
[27] A solution of a problem of Sophus Lie: normal forms of two-dimensional metrics admitting two projective vector fields
Bryant, Robert L.
Manno, Gianni
Matveev, Vladimir S.
[J]. MATHEMATISCHE ANNALEN, 2008, 340 (02) : 437 - 463
[28] A solution of a problem of Sophus Lie: normal forms of two-dimensional metrics admitting two projective vector fields
Robert L. Bryant
Gianni Manno
Vladimir S. Matveev
[J]. Mathematische Annalen, 2008, 340 : 437 - 463
[29] A comparison between a symmetric and a non-symmetric Galerkin finite element-boundary integral equation coupling for the two-dimensional exterior Stokes problem
Radcliffe, A. J.
[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2011, 35 (08) : 959 - 969
[30] Certain Classes of Problems on Linear Conjugation for a Two-Dimensional Vector Admitting Explicit Solutions
Kiyasov, S. N.
[J]. RUSSIAN MATHEMATICS, 2013, 57 (01) : 1 - 16

← 1 2 3 4 5 →