@article{MAKHILLJMMS20082428105, title = {On Properties of the Geometry Dn, n-2}, journal = {Journal of Modern Mathematics and Statistics}, volume = {2}, number = {4}, pages = {129-133}, year = {2008}, issn = {1994-5388}, doi = {jmmstat.2008.129.133}, url = {https://makhillpublications.co/view-article.php?issn=1994-5388&doi=jmmstat.2008.129.133}, author = {Abdelsalam Abou Zayda}, keywords = {Parapolar space,classical polar space,strong geometry,Dn, n-2}, 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.} }