Abstract
For any pseudo-ordered field F and some mappings f and g of F into itself we can construct a Minkowski plane such that one derived affine plane is a variation on W. A. Pierce's construction. Moreover, such a Minkowski plane induces nearaffine planes described by H. A. Wilbrink.
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Jakóbowski, J.: A new generalization of Moulton affine planes, Geom. Dedicata 42 (1992), 243–253.
Klein, M. and Kroll, H. J.: A classification of Minkowski planes, J. Geom 36 (1989), 99–109.
Percsy, N.: Finite Minkowski planes in which every circle-symmetry is an automorphism, Geom. Dedicata 10 (1981), 269–282.
Pierce, W. A.: Moulton planes, Canad. J. Math. 13 (1961), 427–436.
Steinke, G. F.: Some Minkowski planes with 3-dimensional automorphism group, J. Geom. 25(1) (1985), 88–100.
Wilbrink, H. A.: Finite Minkowski planes, Geom. Dedicata 12 (1982), 119–129.
Wilbrink, H. A.: Nearaffine planes, Geom. Dedicata 12 (1982), 53–62.
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Jakóbowski, J. A New Construction for Minkowski Planes. Geometriae Dedicata 69, 179–188 (1998). https://doi.org/10.1023/A:1005049308577
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DOI: https://doi.org/10.1023/A:1005049308577