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Journal of Modern Mathematics and Statistics

ISSN: Online
ISSN: Print 1994-5388
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On Properties of the Geometry Dn, n-2

Abdelsalam Abou Zayda
Page: 129-133 | Received 21 Sep 2022, Published online: 21 Sep 2022

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https://doi.org/10.36478/jmmstat.2008.129.133

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Abstract

We give a general case of the geometries D5, 3 and D6, 4, it is a point-line geometry of type Dn, n-2 (F), n 5. We present a diagram and a complete definition of all varieties of such geometry to be isomorphic to the classical polar space of type + (2n, F). This study includes a characterization of the geometry and the most important properties will be investigated; we prove that the geometry is a strong parapolar with diameter equal n-1.

How to cite this article:

Abdelsalam Abou Zayda . On Properties of the Geometry Dn, n-2.
DOI: https://doi.org/10.36478/jmmstat.2008.129.133
URL: https://www.makhillpublications.co/view-article/1994-5388/jmmstat.2008.129.133