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Dembowski semi-i-spaces

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Abstract

The Dembowski semi-planes are the semi-planes which were determined by P. Dembowski [1]. 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 [4] contained the complete classification of all Dembowski semi-2-spaces, in this article we classify all Dembowski semi-i-spaces, i⩾3.

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References

  1. P. Dembowski,Finite Geometries, Springer-Verlag, 1968.

  2. J.A. Thas and M.L.H. Willems, Restricted Di-spaces part III,Ars Combinatorial., vol. 14 (1982), 279–296.

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  3. M.L.H. Willems and W. Mielants, Dembowski Semi-inversive planes,European Journal of Combinatorics (1982) 3, 173–189.

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  4. M.L.H. Willems and W. Mielants, Dembowski semi-2-spaces (to appear).

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Authors and Affiliations

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

    M. L. H. Willems

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  1. M. L. H. Willems
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Willems, M.L.H. Dembowski semi-i-spaces. J Geom 22, 131–142 (1984). https://doi.org/10.1007/BF01222836

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  • DOI: https://doi.org/10.1007/BF01222836

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