کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9515361 1343449 2005 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Valuations and hyperplanes of dual polar spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Valuations and hyperplanes of dual polar spaces
چکیده انگلیسی
Valuations were introduced in De Bruyn and Vandecasteele (Valuations of near polygons,preprint, 2004) as a very important tool for classifying near polygons. In the present paper we study valuations of dual polar spaces. We will introduce the class of the SDPS-valuations and characterize these valuations. We will show that a valuation of a finite thick dual polar space is the extension of an SDPS-valuation if and only if no induced hex valuation is ovoidal or semi-classical. Each SDPS-valuation will also give rise to a geometric hyperplane of the dual polar space.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Combinatorial Theory, Series A - Volume 112, Issue 2, November 2005, Pages 194-211
نویسندگان
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