Preprint No. A-02-11

Sabine Giese, Hans Havlicek, Ralph-Hardo Schulz

Some constructions of divisible designs from Laguerre geometries

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 these divisible designs and divisible designs whose construction started from a conic in a plane of a 3-dimensional projective space.

Keywords: divisible designs, Laguerre geometries, dual numbers, conics, permutation groups

Mathematics Subject Classification (MSC2000): 05B30, 51B15, 51E20

Language: ENG

Available: Pr-A-02-11.ps

Contact: Ralph-Hardo Schulz, Freie Universität Berlin, Fachbereich Mathematik und Informatik, Arnimallee 2-6, D-14195 Berlin, Germany (schulz@math.fu-berlin.de)

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