Some Generalization of Nearaffine Planes

Volume 53 / 2005

Jan Jakóbowski Bulletin Polish Acad. Sci. Math. 53 (2005), 87-97 MSC: 51A15, 51A45, 51B15, 51B20. DOI: 10.4064/ba53-1-8

Abstract

There are three kinds of Benz planes: Möbius planes, Laguerre planes and Minkowski planes. A Minkowski plane satisfying an additional axiom is connected with some other structure called a nearaffine plane. We construct an analogous structure for a Laguerre plane. Moreover, our description is common for both cases.

Authors

  • Jan JakóbowskiUniversity of Warmia and Mazury in Olsztyn
    Faculty of Mathematics and Informatics
    Żołnierska 14
    10-561 Olsztyn, Poland
    e-mail

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