Flag-transitive point-primitive symmetric 2-designs of prime square order

被引：0

作者：

Lu, Ziwei ^{[1
]}

Zhou, Shenglin ^{[1
]}

机构：

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

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年

基金：

中国国家自然科学基金;

关键词：

Flag-transitive; point-primitive; symmetric design; AUTOMORPHISM-GROUPS; DESIGNS; LAMBDA;

D O I：

10.1142/S0219498826500696

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies flag-transitive, point-primitive automorphism groups of symmetric 2-designs. In particular, if the order of 2-designs is p(2) with p prime, we show that the automorphism groups of 2-designs must be of affine or almost simple type.

引用

页数：17

共 50 条

[21] FLAG-TRANSITIVE POINT-PRIMITIVE (v, k, 4) SYMMETRIC DESIGNS WITH EXCEPTIONAL SOCLE OF LIE TYPE
Wang, Y.
Zhou, S.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (02): : 259 - 273
[22] Flag-transitive point-primitive non-symmetric 2-(v, k, 2) designs with alternating socle
Liang, Hongxue
Zhou, Shenglin
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2016, 23 (04) : 559 - 571
[23] Flag-transitive point-primitive automorphism groups of non-symmetric 2-(v, k, 3) designs
Hongxue Liang
Shenglin Zhou
Designs, Codes and Cryptography, 2018, 86 : 1757 - 1766
[24] Flag-transitive point-primitive 2-(v,k,4) symmetric designs and two dimensional classical groups
ZHOU Sheng-lin TIAN De-lu Department of Mathematics
Applied Mathematics:A Journal of Chinese Universities, 2011, (03) : 334 - 341
[25] Flag-transitive point-primitive 2-(v,k,4) symmetric designs and two dimensional classical groups
Zhou Sheng-lin
Tian De-lu
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2011, 26 (03) : 334 - 341
[26] Flag-transitive point-primitive automorphism groups of non-symmetric 2-(v, k, 3) designs
Liang, Hongxue
Zhou, Shenglin
DESIGNS CODES AND CRYPTOGRAPHY, 2018, 86 (08) : 1757 - 1766
[27] Flag-transitive point-primitive 2-(v,k,4) symmetric designs and two dimensional classical groups
ZHOU Shenglin TIAN Delu Department of MathematicsSouth China University of TechnologyGuangzhou China
AppliedMathematics:AJournalofChineseUniversities(SeriesB), 2011, 26 (03) : 334 - 341
[28] Flag-transitive non-symmetric 2-designs with λ prime and exceptional groups of Lie type
Zhang, Yongli
Shen, Jiaxin
AIMS MATHEMATICS, 2024, 9 (09): : 25636 - 25645
[29] Analysing flag-transitive point-imprimitive 2-designs
Devillers, Alice
Praeger, Cheryl E.
ALGEBRAIC COMBINATORICS, 2023, 6 (04):
[30] Flag-transitive, point-imprimitive 2-designs and direct products of symmetric groups
Chen, Jianfu
Zhou, Shenglin
Shen, Jiaxin
ELECTRONIC JOURNAL OF COMBINATORICS, 2024, 31 (02):

← 1 2 3 4 5 →