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Translationsebenen der ordnung 49 mit scherungen

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Abstract

It is shown that there exists, up to isomorphism, exactly one non-Desarguesian translation plane of order 49 which admits non-trivial shears. Furthermore, the collineation groups of this plane and all its derived planes are described.

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Literatur

  1. Coxeter, H. S. M. und Moser, W. O. J., Generators and Relations for Discrete Groups, Springer-Verlag, Berlin, Heidelberg, New York, 1972.

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  2. Heimbeck, G., ‘Regelflächenscharen’, Geom. Dedicata 22 (1987) 235–245.

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  3. Lüneburg, H., Translation Planes, Springer-Verlag, Berlin, Heidelberg, New York, 1980.

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Authors and Affiliations

  1. Dept. of Mathematics, University of Namibia, Private Bag 13301, 9000, Windhoek, South West Africa

    Günter Heimbeck

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  1. Günter Heimbeck
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Heimbeck, G. Translationsebenen der ordnung 49 mit scherungen. Geom Dedicata 27, 87–100 (1988). https://doi.org/10.1007/BF00181615

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  • DOI: https://doi.org/10.1007/BF00181615

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