Some chain geometries determined by transformation groups |
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Authors: | Andrzej Matraś Aneta Mierzejewska Krzysztof Prazmowski |
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Affiliation: | 1. Division of Algebra and Geometry, University of Warmia and Mazury, ul. ?omierska 14 A, 10-561, Olsztyn, Poland 2. Institute of Mathematics, University of Bialystok, ul. Akademicka 2, 15-267, Bialystok, Poland
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Abstract: | In the paper we propose a modification of the classical construction of the (Minkowskian) incidence structures based on permutation groups. Dropping out explicit assumptions concerning rigidity and transitivity (and assuming an arbitrary finite ”dimension”) we obtain a wider class of structures. Their geometrical properties are studied; in particular, we establish their automorphism groups and discuss some problems related to axiomatic characterization. |
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