Abstract
Klein and Kroll classified Minkowski planes with respect to subgroups of Minkowski translations. In this paper we investigate finite Minkowski planes with respect to groups of automorphisms of Klein–Kroll type at least D with respect to \(\mathcal {G}\)-translations. We show that type E is not possible as the type of a finite Minikowski plane and that type F characterizes the known finite Minkowski planes among finite Minkowski planes.
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Steinke, G.F. A characterization of the known finite Minkowski planes in terms of Klein–Kroll types with respect to \(\mathcal {G}\)-translations. J. Geom. 110, 35 (2019). https://doi.org/10.1007/s00022-019-0475-1
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DOI: https://doi.org/10.1007/s00022-019-0475-1