论文标题

订单$(s,s^2)$的通用四边形。 iv。翻译,moufang和Fong-seitz

Generalized Quadrangles Of Order $(s, s^2)$. IV. Translations, Moufang And Fong-Seitz

论文作者

Thas, Joseph A.

论文摘要

在1994 - 1999年期间,塔斯(Thas)撰写了一系列有关订单$(s,s^2)$的四边形四边形的三篇论文。在本第四部分中,我们将所有有限翻译的概述$(s,s^2)$具有至少3个内核的概述分类,其中包含常规线,而没有与翻译点相关。订单$(s,s^2)$的通用四边形上有几个应用程序,至少有2个翻译点,在moufang Quadrangles上,以及有关Fong定理和Seitz定理,将所有组的Bn-bn-pair分类为等级2。

In the period 1994-1999 Thas wrote a series of three papers on generalized quadrangles of order $(s, s^2)$. In this Part IV we classify all finite translation generalized quadrangles of order $(s, s^2)$ having a kernel of size at least 3, containing a regular line not incident with the translation point. There are several applications on generalized quadrangles of order $(s, s^2)$ having at least 2 translation points, on Moufang quadrangles, and concerning the theorem of Fong and Seitz classifying all groups with a BN-pair of rank 2.

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