کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5776815 1413642 2017 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Scattered linear sets of PG(3,qn) generated by collineations between stars of lines
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Scattered linear sets of PG(3,qn) generated by collineations between stars of lines
چکیده انگلیسی
Let A and B be two points of PG(3,qn) and let Φ be a collineation between the stars of lines with vertices A and B that fixes the line AB. In this paper we prove that the set C of points of intersection of corresponding lines under Φ, under the hypothesis that C generates PG(3,qn), is either the union of two degenerate CFm-sets in two planes through the line AB (see Donati and Durante, 2014) or the union of a scattered GF(q)-linear set of rank n+2 with the line AB. We also determine the intersection configurations of two scattered GF(q)-linear sets of rank n+2 of PG(3,qn) both meeting the line AB in a GF(q)-linear set of pseudoregulus type with transversal points A and B.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 340, Issue 6, June 2017, Pages 1374-1380
نویسندگان
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