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Four-dimensional compact projective planes with a nonsolvable automorphism group

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Abstract

We contribute to the enumeration of all four-dimensional compact projective planes with an at least seven-dimensional automorphism group (cf. Betten [8]) by treating the nonsolvable case. Moreover, we find that the only possible six-dimensional nonsolvable automorphism group is ℝ2 · GL 2+ ℝ.

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Authors and Affiliations

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

    Rainer Löwen

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  1. Rainer Löwen
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Dedicated to Professor H. Salzmann on his 60th birthday

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Löwen, R. Four-dimensional compact projective planes with a nonsolvable automorphism group. Geom Dedicata 36, 225–234 (1990). https://doi.org/10.1007/BF00150790

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  • DOI: https://doi.org/10.1007/BF00150790

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