Flag-transitive block designs with prime replication number and almost simple groups

被引：9

作者：

Alavi, Seyed Hassan ^{[1
]}

Bayat, Mohsen ^{[1
]}

Choulaki, Jalal ^{[1
]}

Daneshkhah, Ashraf ^{[1
]}

机构：

[1] Bu Ali Sina Univ, Dept Math, Fac Sci, Hamadan, Hamadan, Iran

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2020年 / 88卷 / 05期

关键词：

Flag-transitive; 2-design; Automorphism group; Almost simple group; Large subgroup; LAMBDA) SYMMETRIC DESIGNS; FINITE LINEAR-SPACES; NONSYMMETRIC; 2-DESIGNS; AUTOMORPHISM-GROUPS; SUBGROUPS; 2-(V;

D O I：

10.1007/s10623-020-00724-z

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this article, we study 2-designs with prime replication number admitting a flag-transitive automorphism group. The automorphism groups of these designs are point-primitive of almost simple or affine type. We determine 2-designs with prime replication number admitting an almost simple automorphism group and prove that such a design belongs to one of two infinite families of projective spaces or Witt-Bose-Shrikhande spaces or it is isomorphic to a design with parameters (6, 3, 2), (8, 4, 3), (11, 5, 2) or (12, 6, 5).

引用

页码：971 / 992

页数：22

共 34 条

[1]

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

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