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Semi-Biplanes and Antiregular Generalied Quadrangles |
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| Authors: | Burkard Polster Andreas E Schroth |
| Institution: | (1) Department of Pure Mathematics, University of Adelaide, Adelaide, South Australia, 5005, Australia;(2) Mathematisches Seminar, Universität Kiel, Ludewig-Meyn-str. 4, D-24098 Kiel, Germany; e-mail |
| 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. |
| Keywords: | semi-biplanes generalized quadrangles antiregular quadrangles |
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