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Twisted Fano spaces and their classification, linear completions of systems of triangle perspectives

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Abstract

Twisted Fano spaces i.e. linear spaces with the parameters of PG(3, 2) which contain a pencil of Fano subplanes are completely classified and characterized. In particular, it is proved that twisted Fano spaces are exactly all the linear completions of systems of triangle perspectives with point degree 4.

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Authors and Affiliations

  1. Institute of Mathematics, University of Białystok, ul.Akademicka 2, 15-246, Białystok, Poland

    Krzysztof Petelczyc & Małgorzata Prażmowska

Authors
  1. Krzysztof Petelczyc
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  2. Małgorzata Prażmowska
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Correspondence to Krzysztof Petelczyc.

Additional information

Communicated by Dina Ghinelli.

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Petelczyc, K., Prażmowska, M. Twisted Fano spaces and their classification, linear completions of systems of triangle perspectives. Des. Codes Cryptogr. 54, 241–251 (2010). https://doi.org/10.1007/s10623-009-9321-z

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  • DOI: https://doi.org/10.1007/s10623-009-9321-z

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