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Affine planes over finite rings, a summary

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Abstract

In Keppens (Innov. Incidence Geom. 15: 119–139, 2017) we gave a state of the art concerning “projective planes” over finite rings. The current paper gives a complementary overview for “affine planes” over rings (including the important subclass of desarguesian affine Klingenberg and Hjelmslev planes). No essentially new material is presented here but we give a summary of known results with special attention to the finite case, filling a gap in the literature.

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  1. Faculty of Engineering Technology, KU Leuven Technology Campus Ghent, 9000, Ghent, Belgium

    Dirk Keppens

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  1. Dirk Keppens
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Correspondence to Dirk Keppens.

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To the memory of Prof. Walter Benz († 13-01-2017).

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Keppens, D. Affine planes over finite rings, a summary. Aequat. Math. 91, 979–993 (2017). https://doi.org/10.1007/s00010-017-0497-4

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