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Pappussche affine Klingenbergebenen

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Abstract

The result in this paper complements that of Mäurer and Nolte in [8]. Here we show: If the epimorphic imageα(Ω) of an affine Klingenberg plane (Ω, α) is a Fano plane then the configuration conditions (DP),(SD) and (¯ p) imply that Ω is isomorphic to the affine Klingenberg plane over a commutative local ringR, where 1+1 is a non-unit.

The corresponding result for the case that α(Ω) is not a Fano plane has been proved without using (¯ p) (see [8], Theorem 2).

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Authors and Affiliations

  1. Fachbereich Mathematik, Technische Hochschule Darmstadt, Schloßgartenstraße 7, D-64289, Darmstadt

    Wolfgang Nolte

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  1. Wolfgang Nolte
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Herrn Professor Dr. H. Mäurer gewidmet

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Nolte, W. Pappussche affine Klingenbergebenen. J Geom 52, 152–158 (1995). https://doi.org/10.1007/BF01406835

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  • DOI: https://doi.org/10.1007/BF01406835

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