On finite generalized quadrangles of even order

被引：0

作者：

Feng, Tao ^{[1
]}

机构：

[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China

来源：

ADVANCES IN MATHEMATICS | 2023年 / 429卷

基金：

中国国家自然科学基金;

关键词：

Generalized quadrangle; Expander crossing lemma; Solvable linear group; Regular group of automorphisms; AS-CONFIGURATIONS;

D O I：

10.1016/j.aim.2023.109181

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish the following two results: (1) a skew translation generalized quadrangle of even order is a translation generalized quadrangle, (2) a generalized quadrangle of even order does not admit a point regular group of automorphisms. The first result confirms a conjecture of Payne (1975) based on earlier work of Ott (2021), and the second result confirms a conjecture of Ghinelli (1992).& COPY; 2023 Elsevier Inc. All rights reserved.

引用

页数：25

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