A characterization of exterior lines of certain sets of points in PG(2,q)

A. Blokhuis; H.A. Wilbrink

doi:10.1007/BF00181280

A characterization of exterior lines of certain sets of points in PG(2,q)

A. Blokhuis, H.A. Wilbrink

Discrete Algebra and Geometry

Research output: Contribution to journal › Article › Academic › peer-review

18 Citations (Scopus)

Abstract

Let A and B be disjoint sets of points in PG(2, q) the Desarguesian projective plane of order q, with |A|q, |B|=q+1, such that each line through a point of A meets B (just once). Then B is a line.

Original language	English
Pages (from-to)	253-254
Number of pages	2
Journal	Geometriae Dedicata
Volume	23
Issue number	2
DOIs	https://doi.org/10.1007/BF00181280
Publication status	Published - 1987

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title = "A characterization of exterior lines of certain sets of points in PG(2,q)",

abstract = "Let A and B be disjoint sets of points in PG(2, q) the Desarguesian projective plane of order q, with |A|q, |B|=q+1, such that each line through a point of A meets B (just once). Then B is a line.",

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AU - Wilbrink, H.A.

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AB - Let A and B be disjoint sets of points in PG(2, q) the Desarguesian projective plane of order q, with |A|q, |B|=q+1, such that each line through a point of A meets B (just once). Then B is a line.

U2 - 10.1007/BF00181280

DO - 10.1007/BF00181280

M3 - Article

VL - 23

SP - 253

EP - 254

JO - Geometriae Dedicata

JF - Geometriae Dedicata

SN - 0046-5755

IS - 2

ER -