کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10118277 | 1630349 | 2018 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Blocking semiovals in PG(2,q2), q odd, admitting PGL(2,q) as an automorphism group
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A (conic) blocking semioval is a set of points in a projective plane (containing a conic) that is both a blocking set and a semioval. Recently, Dover, Mellinger, and Wantz constructed two new families of conic blocking semiovals in the Desarguesian projective planes of odd order. One of their examples, say S, arises by considering in PG(2,q2), q odd, a unitary polarity commuting with an orthogonal polarity. In particular, such a conic blocking semioval has q3âq2+q2+1 points and is stabilized by a group G isomorphic to PGL(2,q). In this paper, we show that in the same geometric setting there are conic blocking semiovals, having the same size, admitting the same group G, but not isomorphic to S.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 54, November 2018, Pages 315-334
Journal: Finite Fields and Their Applications - Volume 54, November 2018, Pages 315-334
نویسندگان
Daniele Bartoli, Francesco Pavese,