Preprint No. A-99-13

Cinzia Cerroni, Ralph-Hardo Schulz

Divisible designs admitting, as an automorphism group, an orthogonal group or a unitary group

Abstract: We construct some divisible designs starting from a projective space. These divisible designs admit an orthogonal group or a unitary group as a point-- and block--transitive automorphism group.

Keywords: divisible designs, $R$-permutation groups, automorphism groups, orthogonal group, unitary group, constant weight code.

Mathematics Subject Classification (MSC91): 05B30 Other designs, configurations, See also {51E30} , 51E20 Combinatorial structures in finite projective spaces, See also {05Bxx}

Language: ENG

Available: Pr-A-99-13.ps

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

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