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51-XX Geometry
51Axx Linear incidence geometry
51A15 Structures with parallelism

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Some Generalization of Nearaffine Planes

Jan Jakóbowski (2005)

Bulletin of the Polish Academy of Sciences. Mathematics

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.

Strutture di André con gruppi di traslazioni transitivi non normali

Mauro Biliotti, Armin Herzer (1982)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We give some examples of André-structures admitting translation groups which are transitive on the set of points but which are not normal in the dilatation group. André structures with this property seem to be new in the literature.

Currently displaying 1 – 2 of 2

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