Some Generalization of Nearaffine Planes
Volume 53 / 2005
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.