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Semi-Biplanes and Antiregular Generalied Quadrangles

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Abstract

A natural method to construct semi-biplanes from antiregular generalized quadrangles is introduced. Properties of the semi-biplanes constructed are discussed. In the finite case and in the topological case the semi-biplanes that arise bear a strong resemblance to semi-biplanes that arise in the natural way from projective planes admitting an involutory homology.

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Authors and Affiliations

  1. Department of Pure Mathematics, University of Adelaide, Adelaide, South Australia, 5005, Australia

    Burkard Polster

  2. Mathematisches Seminar, Universität Kiel, Ludewig-Meyn-str. 4, D-24098 Kiel, Germany; e-mail

    Andreas E. Schroth

Authors
  1. Burkard Polster
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  2. Andreas E. Schroth
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Polster, B., Schroth, A.E. Semi-Biplanes and Antiregular Generalied Quadrangles. Geometriae Dedicata 69, 207–271 (1998). https://doi.org/10.1023/A:1004989622371

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