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 18 条

[1] On flag-transitive automorphism groups of symmetric designs [J].

Alavi, Seyed Hassan ;

Daneshkhah, Ashraf ;

Okhovat, Narges .

ARS MATHEMATICA CONTEMPORANEA, 2019, 17 (02) :617-626

[2]

[Anonymous], 1983, London Mathematical Society Lecture Note Series

[3]

[Anonymous], 2017, GAP GROUPS ALG PROGR

[4] FLAG-TRANSITIVITY AND PRIMITIVITY [J].

DAVIES, H .

DISCRETE MATHEMATICS, 1987, 63 (01) :91-93

[5]

Dixon JD., 1996, PERMUTATION GROUPS, Vvol. 163, DOI DOI 10.1007/978-1-4612-0731-3

[6] Flag-Transitive Point-Primitive Automorphism Groups of Nonsymmetric 2-(v, k, 2) Designs [J].

Liang, Hongxue ;

Zhou, Shenglin .

JOURNAL OF COMBINATORIAL DESIGNS, 2016, 24 (09) :421-435

[7] ON THE ONAN-SCOTT THEOREM FOR FINITE PRIMITIVE PERMUTATION-GROUPS [J].

LIEBECK, MW ;

PRAEGER, CE ;

SAXL, J .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1988, 44 :389-396

[8] Flag-transitive and point-imprimitive symmetric designs with λ ≤ 10 [J].

Mandic, Josko ;

Subasic, Aljosa .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 2022, 189

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

Montinaro, Alessandro .

JOURNAL OF ALGEBRA, 2024, 653 :54-101

[10] A parametrisation for symmetric designs admitting a flag-transitive, point-primitive automorphism group with a product action [J].

O'Reilly-Regueiro, Eugenia ;

Rodriguez-Fitta, Jose Emanuel .

ARS MATHEMATICA CONTEMPORANEA, 2023, 23 (02)

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