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Combinatorial generalizations of generalized quadrangles of order (2, 2)

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Abstract

We study substructures of a projective space PG(n, 2) represented in terms of elementary combinatorics of finite sets, which generalize the Sylvester’s representation of the generalized quadrangle of order (2, 2). Their synthetic properties are established and automorphisms are characterized.

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Authors and Affiliations

  1. Secondary School, Michałowo ul. Sienkiewicza 21, Michałowo, Poland

    Andrzej Owsiejczuk

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

    Małgorzata Prażmowska

Authors
  1. Andrzej Owsiejczuk
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  2. Małgorzata Prażmowska
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Corresponding author

Correspondence to Małgorzata Prażmowska.

Additional information

Communicated by Guglielmo Lunardon.

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Owsiejczuk, A., Prażmowska, M. Combinatorial generalizations of generalized quadrangles of order (2, 2). Des. Codes Cryptogr. 53, 45–57 (2009). https://doi.org/10.1007/s10623-009-9291-1

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  • DOI: https://doi.org/10.1007/s10623-009-9291-1

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