On the nonexistence of certain Hughes generalized quadrangles

Joris De Kaey, Alan Offer, Hendrik Van Maldeghem
<span title="2007-08-07">2007</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/c45m6ttnaje4xbjsq7m2c6df2a" style="color: black;">Designs, Codes and Cryptography</a> </i> &nbsp;
In this paper, we prove that the Hermitian quadrangle H(4, q 2 ) is the unique generalized quadrangle Γ of order (q 2 , q 3 ) containing some subquadrangle of order (q 2 , q) isomorphic to H(3, q 2 ) such that every central elation of the subquadrangle is induced by a collineation of Γ.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10623-007-9066-5">doi:10.1007/s10623-007-9066-5</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/mpg2crfalnb7pmysafkvfs7nrm">fatcat:mpg2crfalnb7pmysafkvfs7nrm</a> </span>
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