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Blockings-dimensional subspaces by lines inPG(2s,q)

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Abstract

We investigate sets of lines inPG(2s,q) such that everys-dimensional subspace contains a line of this set. We determine the minimum number of lines in such a set and show that there is only one type of such a set with this minimum number of lines.

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References

  1. A. Beutelspacher, andJ. Ueberberg: A characteristic property of geometrict-spreads in finite projective spaces,Europ. J. Comb.,12 (1991), 277–281.

    Google Scholar 

  2. R. C. Bose, andR. C. Burton: A characterization of Flat Spaces in a Finite Geometry and the uniqueness of the Hamming and the MacDonald Codes,J. Comb. Th.,1 (1966), 96–104.

    Google Scholar 

  3. A. Brouwer: Personal communication.

  4. F. Buekenhout, andP. Cameron: Projective and affine geometry over division rings, in:Handbook of Incidence Geometry edited by F. Buekenhout, Elsevier Science B. V., 1995.

  5. J. Kahn, andG. Kalai: A problem of Füredi and Seymour on Covering Intersecting Families of Graphs,J. Comb. Th. (A),68 (1994), 317–339.

    Google Scholar 

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Authors and Affiliations

  1. Mathematisches Institut, Arndtstr. 2, D-35392, Giessen

    J. Eisfeld

  2. Mathematisches Institut, Arndtstr. 2, D-35392, Giessen

    K. Metsch

Authors
  1. J. Eisfeld
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  2. K. Metsch
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Eisfeld, J., Metsch, K. Blockings-dimensional subspaces by lines inPG(2s,q) . Combinatorica 17, 151–162 (1997). https://doi.org/10.1007/BF01200904

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  • DOI: https://doi.org/10.1007/BF01200904

Mathematics Subject Classification (1991)