×
Bichara, Alessandro; Korchmaros, Gabriele

\(n^ 2\)-sets in a projective plane which determine exactly \(n^ 2+n\) lines. (English) Zbl 0459.51007

J. Geom. 15, 175-181 (1980).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0459.51007

Cited in 4 Documents

MSC:

51E15 Finite affine and projective planes (geometric aspects)

Keywords:

non-degenerate quadrangle; affine configuration of order n; inflexional points; cubic curve; finite subset; projective subplane; isomorphic
Cite Review PDF
Full Text: DOI

References:

[1] A. BRUEN. -The number of lines determined of n 2 points. J. Com. Theory15, 225–241 (1973). · Zbl 0259.05006 · doi:10.1016/S0097-3165(73)80009-3
[2] H. S. M. COXETER. -The real projective plane, Cambridge Univ. Press, New York 1961. · Zbl 0032.11302
[3] P. ERDOS. -Problem N 4065, Amer. Math. Montly51 (1944).
[4] H. HANANI. -On the number of straight lines determined by n points, Riv. Lematematika5, 10–11 (1959).
[5] F. KARTESZI. -Alcuni problemi della geometria di incidenza, Conf. Sem. Mat. Univ. Bari, n.88 (1963). · Zbl 0141.18003
[6] G. KORCHMAROS. -On n 2 -sets of type(0,1,n) in projective planes, to appear · Zbl 0456.51007
[7] L. M. KELLY - W. O. F. MOSER. -On the number of lines and planes determined by n points, Canada, J. Math.10, 210–219 (1958). · Zbl 0081.15103 · doi:10.4153/CJM-1958-024-6
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.