A GEOMETRICAL CHARACTERIZATION OF MINKOWSKI PLANES OF ORDER 3 AND 4

Jan Jakobowski
1999 Demonstratio Mathematica  
In [5] H. A. Wilbrink proved that a certain class of Minkowski planes induce nearaffine planes. Of course, this class contains all Minkowski planes over fields. But only Minkowski planes of order 3 and 4 induce nearaffine planes which are also Minkowski planes (moreover they are afHne planes, too). COROLLARY 1. In the case of finite Minkowski planes (i.e. if II is finite) the axiom (T) follows immediately from (Ml) -(M5) (cf. [3, p.269]). (1991): 51B20, 51E15, 51A20. Mathematics Subject
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doi:10.1515/dema-1999-0221 fatcat:c55dwhk5vvfljdrjstfw37vl5i