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A generalized quadrangle of order (s, t) with center of transitivity is an elation quadrangle if s ≤ t

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Abstract

We show that a generalized quadrangle of order (s, t) with a center of transitivity is an elation generalized quadrangle if s ≤ t. In order to obtain this result, we generalize Frohardt’s result on Kantor’s conjecture from elation quadrangles to the more general case of quadrangles with a center of transitivity.

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References

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Authors and Affiliations

  1. Department of Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281, S22, Ghent, 9000, Belgium

    Koen Thas

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  1. Koen Thas
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Correspondence to Koen Thas.

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Thas, K. A generalized quadrangle of order (s, t) with center of transitivity is an elation quadrangle if s ≤ t . Des. Codes Cryptogr. 47, 221–224 (2008). https://doi.org/10.1007/s10623-007-9121-2

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  • DOI: https://doi.org/10.1007/s10623-007-9121-2

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