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Piotrowski’s Infinite Series of Steiner Quadruple Systems Revisited

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Designs and Finite Geometries
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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.

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References

  1. S. Bay and E. deWeck, Sur des systèmes de quadruples, Comment. Math. Helv. Vol. 7 (1935) pp. 222–241.

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Dedicated to Hanfried Lenz on the occasion of his 80th birthday

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© 1996 Kluwer Academic Publishers, Boston

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Siemon, H. (1996). Piotrowski’s Infinite Series of Steiner Quadruple Systems Revisited. In: Jungnickel, D. (eds) Designs and Finite Geometries. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1395-3_18

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  • DOI: https://doi.org/10.1007/978-1-4613-1395-3_18

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8604-2

  • Online ISBN: 978-1-4613-1395-3

  • eBook Packages: Springer Book Archive

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