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Piotrowski’s Infinite Series of Steiner Quadruple Systems Revisited

In: Designs and Finite Geometries

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  • Helmut Siemon

    (Fakultät, PH Ludwigsburg, Math.-Naturwiss)

Abstract

The construction of Bays and deWeck [1] of a Steiner Quadruple System SQS(14) was generalized by Piotrowski in his dissertation ([7], p. 34) to an SQS(2p), p ≡ 7 mod 12 with a group transitive on the points. However he gave no proof of his construction and his presesntation was open to misinterpretation. So Hanfried Lenz suggested to analyse Piotrowski’s construction and to supply it with a proof. In the following we will present Piotrowski’s ideas somewhat differently and will furnish a proof of the construction.

Suggested Citation

  • Helmut Siemon, 1996. "Piotrowski’s Infinite Series of Steiner Quadruple Systems Revisited," Springer Books, in: Dieter Jungnickel (ed.), Designs and Finite Geometries, pages 239-254, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-1395-3_18
    DOI: 10.1007/978-1-4613-1395-3_18
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