کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4655710 1343399 2011 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Simple connectedness of hyperplane complements in some geometries related to buildings
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Simple connectedness of hyperplane complements in some geometries related to buildings
چکیده انگلیسی

For a class of parapolar spaces that includes the geometries E6,4, E7,7, and E8,1 with lines of size at least three, the metasymplectic spaces with lines of size at least four, and the polar line Grassmannians with lines of size at least four except D4,2(3), we show that the subgraph of the point-collinearity graph induced on the complement of a hyperplane is simply connected. We also show that these parapolar spaces have Veldkamp lines.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Combinatorial Theory, Series A - Volume 118, Issue 2, February 2011, Pages 641-671