Symmetric designs and four dimensional projective special unitary groups

被引：5

作者：

Alavi, Seyed Hassan ^{[1
]}

Bayat, Mohsen ^{[1
]}

Daneshkhah, Ashraf ^{[1
]}

Zarin, Sheyda Zang ^{[1
]}

机构：

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

来源：

DISCRETE MATHEMATICS | 2019年 / 342卷 / 04期

关键词：

Symmetric design; Point-primitive; Flag-transitive; Automorphism group; Finite simple projective unitary group; SUBGROUPS;

D O I：

10.1016/j.disc.2018.12.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study symmetric (v, k, lambda) designs admitting a flag-transitive and point-primitive automorphism group G whose socle is PSU4(q). We prove that there exist eight non-isomorphic such designs for which lambda is an element of {3, 6, 181 and G is either PSU4(2), or PSU4(2) : 2. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：1159 / 1169

页数：11

共 23 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].