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  • On eggs and translation generalised quadrangles
    Penttila, Tim ; Lavrauw, Michel
    We study eggs in PG(4n−1, q). A new model for eggs is presented in which all known examples are given. We calculate the general form of the dual egg for eggs arising from a semifield flock. Applying ... this to the egg obtained by L. Bader et al. (1999, J. Combin. Theory Ser. A86, 49–62) from the Penttila–Williams ovoid, we obtain the dual egg, which is not isomorphic to any of the previous known examples. Furthermore we give a new proof of a conjecture of J. A. Thas (1994, J. Combin. Theory Ser. A67, 140–160) using our model and classify all eggs of PG(7, 2) which is equivalent to the classification of all translation generalised quadrangles of order (4, 16).
    Source: Journal of combinatorial theory. Series A. - ISSN 0097-3165 (Vol. 96, iss. 2, 2001, str. 303-315)
    Type of material - article, component part ; adult, serious
    Publish date - 2001
    Language - english
    COBISS.SI-ID - 143513603

    Link(s):

    https://www.sciencedirect.com/science/article/pii/S0097316501931796?via%3Dihub
    https://doi.org/10.1006/jcta.2001.3179
    DOI

source: Journal of combinatorial theory. Series A. - ISSN 0097-3165 (Vol. 96, iss. 2, 2001, str. 303-315)

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