Journal of Geometry

, Volume 15, Issue 1, pp 93–98 | Cite as

Ensembles de classe (0, 1, q, q + 1) de PG (d, q)

  • Christiane Lefevre-Percsy


We determine all sets Q of points of any finite dimensional protective space P such that each line intersecting Q in more than one point, either is contained in Q or contains exactly one point not on Q. If P is a finite protective space of order q, these sets are the so called sets of class (0, 1, q, q + 1).


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    C. LEFEVRE-PERCSY - Tallini sets in projective spaces - Atti Accad. Naz. Lincei Rendic. 59 (1975), 392–400.Google Scholar
  2. [2]
    C. LEFEVRE-PERCSY - An extension of a theorem of Tallini — A paraître dans J. Comb. Theory.Google Scholar
  3. [3]
    G. TALLINI - Caratterizzazione grafica della quadriche ellitiche negli spazi finiti. Rendic.Mat. 16 (1957), 328–351.Google Scholar
  4. [4]
    M. TALLINI-SCAFATI - Caratterizzazione grafica delle forme hermitiane di un Srq. Rendic. Mat. 26 (1967), 273–303.Google Scholar

Copyright information

© Birkhäuser Verlag 1981

Authors and Affiliations

  • Christiane Lefevre-Percsy
    • 1
  1. 1.U.L.B.BruxellesBelgium

Personalised recommendations