Finite Bolyai–Lobachevskii planes

Finite Bolyai–Lobachevskii planes

Finite analogs of the classical Beltrami–Klein model of the Bolyai–Lobachevskii plane arising from ovals, unitals and maximal ( k , n )-arcs are of interest in finite geometry. Three new results are obtained which give characterizations of such models equipped with many symmetries.

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Veröffentlicht in:Acta mathematica Hungarica 2012-03, Vol.134 (4), p.405-415
Hauptverfasser: Korchmáros, Gábor, Sonnino, Angelo
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:Finite analogs of the classical Beltrami–Klein model of the Bolyai–Lobachevskii plane arising from ovals, unitals and maximal ( k , n )-arcs are of interest in finite geometry. Three new results are obtained which give characterizations of such models equipped with many symmetries.
ISSN:0236-5294
1588-2632
DOI:10.1007/s10474-011-0181-4