Abdelsalam Abou Zayda ,
On Properties of the Geometry Dn, n-2,
Journal of Modern Mathematics and Statistics,
Volume 2,Issue 4,
2008,
Pages 129-133,
ISSN 1994-5388,
jmmstat.2008.129.133,
(https://makhillpublications.co/view-article.php?doi=jmmstat.2008.129.133)
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.
Keywords: Parapolar space;classical polar space;strong geometry;Dn; n-2