TY  - JOUR
T1  - On Properties of the Geometry D<SUB>n, n-2</SUB>
AU - , Abdelsalam Abou Zayda 
JO  - Journal of Modern Mathematics and Statistics
VL  - 2
IS  - 4
SP  - 129
EP  - 133
PY  - 2008
DA  - 2001/08/19
SN  - 1994-5388
DO  - jmmstat.2008.129.133
UR  - https://makhillpublications.co/view-article.php?doi=jmmstat.2008.129.133
KW  - Parapolar space
KW  -classical polar space
KW  -strong geometry
KW  -Dn
KW  - n-2
AB  - We give a general case of the geometries D<SUB>5, 3</SUB> and D<SUB>6, 4</SUB>, it is a point-line geometry of type D<SUB>n, n-2</SUB> (F), n<SUB> </SUB> 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  <SUP>+</SUP> (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.
ER  -