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Some constructions of divisible designs from Laguerre geometries
Authors:Sabine Giese
Institution:a 2. Mathematisches Institut, FB Mathematik und Informatik, Freie Universtität Berlin, Arnimallee 3, D-14195 Berlin, Germany
b Abteilung für Lineare Algebra und Geometrie, Technische Universität Wien, Wiedner Hauptstrasse 8-10/1133, A-1040 Wien, Austria
Abstract:In the nineties, A.G. Spera introduced a construction principle for divisible designs. Using this method, we get series of divisible designs from finite Laguerre geometries. We show a close connection between some of these divisible designs and divisible designs whose construction was based on a conic in a plane of a three-dimensional projective space.
Keywords:Divisible design  Laguerre geometry  Dual number  Automorphism group
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