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The convolution of a partial Steiner triple system and a group

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Abstract.

We define the operation of convolution, which associates with a partial Steiner triple system and an abelian group a new partial Steiner triple system, and we determine conditions under which some fundamental geometric properties remain invariant under the operation of convolution.

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Authors and Affiliations

  1. Institute of Mathematics, University in Białystok, ul Akademicka 2, 15-267, Białystok, Poland

    Małgorzata Prażmowska & Krzysztof Prażmowski

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  1. Małgorzata Prażmowska
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  2. Krzysztof Prażmowski
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Correspondence to Małgorzata Prażmowska.

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Prażmowska, M., Prażmowski, K. The convolution of a partial Steiner triple system and a group. J. geom. 85, 90–109 (2006). https://doi.org/10.1007/s00022-006-0051-3

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  • DOI: https://doi.org/10.1007/s00022-006-0051-3

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