Abstract
LetC be a set ofq + a points in the desarguesian projective plane of orderq, such that each point ofC is on exactly 1 tangent, and onea+ 1-secant (a>1). Then eitherq=a + 2 andC consists of the symmetric difference of two lines, with one further point removed from each line, orq=2a + 3 andC is projectively equivalent to the set of points {(0,1,s),(s, 0, 1),(1,s, 0): -s is not a square inGF(q)}.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
A. BLOKHUIS and A.A. BRUEN,The minimal number of lines intersected by a set of q + 2 points and intersecting circles, J. Combin. Theory Ser. A 50 (1989), 308–315
O. VEBLEN and J.W. YOUNG, Projective Geometry, Ginn and Company, 1946
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Blokhuis, A. Characterization of seminuclear sets in a finite projective plane. J Geom 40, 15–19 (1991). https://doi.org/10.1007/BF01225867
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01225867