A Classification of Flag-Transitive Symmetric Designs with λ at Most 100

被引：0

作者：

Bayat, Mohsen ^{[1
]}

机构：

[1] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2025年 / 48卷 / 04期

关键词：

Flag-transitive; Point-primitive; Symmetric design; Almost simple group; MAXIMAL-SUBGROUPS;

D O I：

10.1007/s40840-025-01889-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study symmetric designs D with lambda at most 100 admitting flag-transitive and point-primitive almost simple automorphism group G with socle X being a projective special linear groups of dimension at least 2. We, in particular, determine all such possible designs.

引用

页数：17

共 23 条

[1]

Alavi SH, 2016, B IRAN MATH SOC, V42, P201

[2] Finite exceptional groups of Lie type and symmetric designs [J].

Alavi, Seyed Hassan ;

Bayat, Mohsen ;

Daneshkhah, Ashraf .

DISCRETE MATHEMATICS, 2022, 345 (08)

[3] Almost simple groups of Lie type and symmetric designs with λ prime [J].

Alavi, Seyed Hassan ;

Bayat, Mohsen ;

Daneshkhah, Ashraf .

ELECTRONIC JOURNAL OF COMBINATORICS, 2021, 28 (02)

[4] Symmetric designs and projective special linear groups of dimension at most four [J].

Alavi, Seyed Hassan ;

Bayat, Mohsen ;

Daneshkhah, Asharf .

JOURNAL OF COMBINATORIAL DESIGNS, 2020, 28 (09) :688-709

[5] Flag-transitive block designs with prime replication number and almost simple groups [J].

Alavi, Seyed Hassan ;

Bayat, Mohsen ;

Choulaki, Jalal ;

Daneshkhah, Ashraf .

DESIGNS CODES AND CRYPTOGRAPHY, 2020, 88 (05) :971-992

[6] Symmetric designs admitting flag-transitive and point-primitive automorphism groups associated to two dimensional projective special groups [J].

Alavi, Seyed Hassan ;

Bayat, Mohsen ;

Daneshkhah, Ashraf .

DESIGNS CODES AND CRYPTOGRAPHY, 2016, 79 (02) :337-351

[7] Large subgroups of simple groups [J].

Alavi, Seyed Hassan ;

Burness, Timothy C. .

JOURNAL OF ALGEBRA, 2015, 421 :187-233

[8] ON THE MAXIMAL-SUBGROUPS OF THE FINITE CLASSICAL-GROUPS [J].

ASCHBACHER, M .

INVENTIONES MATHEMATICAE, 1984, 76 (03) :469-514

[9]

Beth T., 1999, DESIGN THEORY

[10] Primitive Symmetric Designs with up to 2500 Points [J].

Braic, Snjezana ;

Golemac, Anka ;

Mandic, Josko ;

Vucicic, Tanja .

JOURNAL OF COMBINATORIAL DESIGNS, 2011, 19 (06) :463-474

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