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Dembowski semi-2-spaces

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Abstract

The Dembowski semi-planes are the semi-planes which were determined by P. Dembowski [3]. A Dembowski semi-i-space (i⩾1) is an incidence structure J=(P,B,I) for which: (i) each element of B is incident with at least i+3 elements of P, and (ii) each i-residual space of J is a Dembowski semi-plane. The article [5] contained the complete classification of all Dembowski semi-1-spaces, in this article we classify all Dembowski semi-2-spaces.

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References

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Authors and Affiliations

  1. Dienst Meetkunde R.U.C.A., Groenenborgerlaan 171, 2020, Antwerp, Belgium

    M. L. H. Willems & W. Mielants

  2. Seminar of Algebra, State University of Ghent, Galglaan 2, 9000, Ghent, Belgium

    M. L. H. Willems & W. Mielants

Authors
  1. M. L. H. Willems
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  2. W. Mielants
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Willems, M.L.H., Mielants, W. Dembowski semi-2-spaces. J Geom 22, 117–130 (1984). https://doi.org/10.1007/BF01222835

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  • DOI: https://doi.org/10.1007/BF01222835

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