Classification of Minkowski planes by transitive groups of homotheties
Copyright policy )Classification of Minkowski planes by transitive groups of homotheties
In 1989, the author with H.-J. Kroll published a classification of Minkowski planes based on the notions ``\(G\)-translations'' and ``\(q\)- translations''. In the present paper the author improves upon the classification by looking at transitive groups of homotheties. These results complete the classification by \textit{M. Meschiari} and \textit{P. Quattrocchi} for the finite planes [Atti Sem. Mat. Fis. Univ. Modena (1975), 123-141 (1976; Zbl 0328.50018)]. Finally, except two types, there are presented examples of groups of automorphisms of Minkowski planes for all classes of the classification.
- University of Haifa Israel
Minkowski geometries in nonlinear incidence geometry, Homomorphism, automorphism and dualities in linear incidence geometry, classification of Minkowski planes, homotheties
Minkowski geometries in nonlinear incidence geometry, Homomorphism, automorphism and dualities in linear incidence geometry, classification of Minkowski planes, homotheties
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