论文标题

广义四边形的封面,2。

Covers of generalized quadrangles, 2. Kantor-Knuth covers and embedded ovoids

论文作者

Thas, J. A., Thas, K.

论文摘要

在本文中,这是\ cite {part1}的续集,我们继续研究与通用四边形有关的几何形状的封面和分解定律。特别是,我们为所有Kantor-Knuth概括的四边形获得了更高的分解定律,该定律概述了\ cite {part1}的主要结果之一。在本文的第二部分中,我们在固定有限的抛物线四边形中研究了所有Kantor-Knuth卵形(带有给定参数)的集合,并将此组与抛物线四边形四边形的嵌入到Kantor-Knuth Quadrangles中。这种观点引起了\ cite {jatsep}中提出的问题的答案。

In this paper, which is a sequel to \cite{part1}, we proceed with our study of covers and decomposition laws for geometries related to generalized quadrangles. In particular, we obtain a higher decomposition law for all Kantor-Knuth generalized quadrangles which generalizes one of the main results in \cite{part1}. In a second part of the paper, we study the set of all Kantor-Knuth ovoids (with given parameter) in a fixed finite parabolic quadrangle, and relate this set to embeddings of parabolic quadrangles into Kantor-Knuth quadrangles. This point of view gives rise to an answer of a question posed in \cite{JATSEP}.

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