کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9515377 | 1343450 | 2005 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Tangential Tallini sets in finite Grassmannians of lines
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
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چکیده انگلیسی
A Tallini set in a semilinear space is a set B of points, such that each line not contained in B intersects B in at most two points. In this paper, the following notion of a tangential Tallini set in the Grassmannian În,1,q, q odd, is investigated: a Tallini set is called tangential when it meets every ruled plane (i.e. the set of lines contained in a plane of PG(n,q)) in either q+1 or q2+q+1 elements. A Tallini set QB in PG(n,q) can be associated with each tangential Tallini set B in În,1,q. Each ââB is a line of PG(n,q) intersecting QB in either 0, or 1, or q+1 points; when nâ 4 and B is covered by (n-2)-dimensional projective subspaces of În,1,q the first case does not occur. If B is a tangential Tallini set in În,1,q covered by (n-2)-dimensional subspaces, any of which is in PG(n,q) the set of all lines through a point and in a hyperplane, then either QB is a quadric, and B is the set of all lines contained in, or tangent to, QB, or B is a linear complex.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Combinatorial Theory, Series A - Volume 109, Issue 2, February 2005, Pages 189-202
Journal: Journal of Combinatorial Theory, Series A - Volume 109, Issue 2, February 2005, Pages 189-202
نویسندگان
Alessandro Bichara, Corrado Zanella,