Generalised quadrangles with a group of automorphisms acting primitively on points and lines

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:119

Article

Bamberg, John¹  Giudici, Michael¹  Morris, Joy²  Royle, Gordon F.¹  Spiga, Pablo¹ 

[1] Univ Western Australia, Ctr Math Symmetry & Computat, Sch Math & Stat, Crawley, WA 6009, Australia

[2] Univ Lethbridge, Dept Math & Comp Sci, Lethbridge, AB T1K 3M4, Canada

关键词: Generalised quadrangle;    Primitive permutation group;    Flag-transitive;   

DOI  :  10.1016/j.jcta.2012.04.005

来源: Elsevier

【 摘 要 】

We show that if G is a group of automorphisms of a thick finite generalised quadrangle Q acting primitively on both the points and lines of Q, then G is almost simple. Moreover, if G is also flag-transitive then G is of Lie type. Crown Copyright (C) 2012 Published by Elsevier Inc. All rights reserved.

【 授权许可】

Free