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ON THE STRUCTURE OF FINITE PSEUDO- COMPLEMENTS OF QUADRILATERALS AND THEIR EMBEDDABILITY | ||
Journal of Sciences, Islamic Republic of Iran | ||
مقاله 8، دوره 4، شماره 1، خرداد 1993 اصل مقاله (319.87 K) | ||
چکیده | ||
A pseudo-complement of a quadrilateral D of order n, n, > 3, is a non-trivial (n+l)- regular linear space with n - 3n + 3 points and n + n - 3 lines. We prove that if n > 18 and D has at least one line of size n - 1, or if n > 25 , then the set of lines of D consists of three lines of size n -1, 6(n - 2) lines of size n - 2, and n - 5n + 6 lines of size n - 3. Furthermore, if n > 21 and D has at least one line of size n - 1, then D is embeddable in a unique projective plane of order n. These results improve the results of the author | ||
عنوان مقاله [English] | ||
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چکیده [English] | ||
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آمار تعداد مشاهده مقاله: 861 تعداد دریافت فایل اصل مقاله: 814 |