On Flag-Transitive Symmetric Designs of Affine Type

被引：17

作者：

Biliotti, Mauro ^{[1
]}

Montinaro, Alessandro ^{[1
]}

机构：

[1] Univ Salento, Dipartimento Matemat & Fis E De Giorgi, Via Arnesano, I-73100 Lecce, Italy

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 2017年 / 25卷 / 02期

关键词：

Symmetric design; difference set; flag-transitive affine group; AUTOMORPHISM-GROUPS; PERMUTATION-GROUPS; CLASSIFICATION; PRIMITIVITY; BIPLANES; SOCLE; 2-(V;

D O I：

10.1002/jcd.21533

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that, if D is a nontrivial 2-(v, k, lambda) symmetric design, with (k, lambda) = 1, admitting a flag-transitive automorphism group G of affine type, then v = p(d), p an odd prime, and G is a point-primitive, block-primitive subgroup of A Gamma L-1(p(d)). Moreover, O(G) acts flag-transitively, point-primitively on D, and D is isomorphic to the development of a difference set whose parameters and structure are also provided.(C) 2016 Wiley Periodicals, Inc.

引用

页码：85 / 97

页数：13

共 37 条

[1]

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

[2]

[Anonymous], 2004, GAP GROUPS ALGORITHM

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