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Three-dimensional quadrangles and flat Laguerre planes

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Abstract

Every three-dimensional generalized quadrangle can be constructed from flat Laguerre planes.

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References

  1. Buchanan, T., Hähl, H. and Löwen, R., ‘Topologische Ovale’, Geom. Dedicata 9 (1980), 401–424.

    Google Scholar 

  2. Forst, M., ‘Topologische 4-Gone’, Mitt. Math. Sem. Gießen 147 (1981), 3–129.

    Google Scholar 

  3. Groh, H., ‘Topologische Laguerre-Ebenen I’, Abh. Math. Sem. Univ. Hamburg 32 (1968), 216–231.

    Google Scholar 

  4. Groh, H., ‘Topologische Laguerre-Ebenen II’, Abh. Math. Sem. Univ. Hamburg 34 (1969), 11–21.

    Google Scholar 

  5. Leiβner, W., ‘Büschelhomogene Lie-Ebenen’, J. Reine Angew. Math. 246 (1971), 76–116.

    Google Scholar 

  6. Lie, S. and Scheffers, G., Geometrie der Berührtransformationen I, Leipzig, 1896.

  7. Payne, S. E. and Thas, J. A., ‘Finite generalized quadrangles’, Res. Notes Math. 110, Pitman, Boston, 1984.

    Google Scholar 

  8. Payne, S. E. und Thas, J. A. ‘Generalized quadrangles with symmetry’, Simon Stevin 49 (1970), 3–32 and 81–103.

    Google Scholar 

  9. Schroth, A. E., ‘Dreidimensionale topologische Vierecke und ebene Laguerre-Ebenen’, Diplomarbeit Tübingen, 1987.

  10. Thas, J. A., ‘Circle geometries and generalized quadrangles’, Finite Geometries, Winnipeg, Man., 1984, pp. 327–352; Lecture Notes in Pure and Appl. Math. 103, Dekker, New York, 1985.

    Google Scholar 

  11. Tits, J., ‘Sur la trialité et certains groupes qui s'en déduisent’, Publ. Math. I.H.E.S. 2 (1959), 13–60.

    Google Scholar 

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Authors and Affiliations

  1. Institut für Analysis, Abteilung für Topologie und Grundlagen der Analysis, Technische Universität, Pockelsstr. 14, D-3300, Braunschweig, Germany

    A. E. Schroth

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  1. A. E. Schroth
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Dedicated to Prof. H. Salzmann on his 60th birthday

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Schroth, A.E. Three-dimensional quadrangles and flat Laguerre planes. Geom Dedicata 36, 365–373 (1990). https://doi.org/10.1007/BF00150801

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  • DOI: https://doi.org/10.1007/BF00150801

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