论文标题

关于有限的均匀订单四边形

On finite generalized quadrangles of even order

论文作者

Feng, Tao

论文摘要

在本文中,我们建立了以下两个结果:(1)偏斜的翻译均匀的四边形是翻译通用的四边形,(2)均匀的均匀阶次四边形不承认一个常规自动形态组。第一个结果证实了佩恩(1975)的猜想,基于OTT的早期工作(2021),第二个结果证实了Ghinelli(1992)的猜想。

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 automorphism group. 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).

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