The m-covers and m-ovoids of generalised quadrangles and related structures

Melissa Chuekmun Lee

    Research output: ThesisMaster's Thesis

    114 Downloads (Pure)

    Abstract

    Although many abstractions of hemisystems of H(3,q2) have been introduced since the first infinite family was discovered by Cossidente and Penttila in 2005, none have been applied to relative hemisystems . This is the main focus of this dissertation. We prove that every nontrivial relative m-cover is a relative hemisystem. We also give the first examples of relative hemisystems on nonclassical generalised quadrangles and study other generalisations in the classical case. Finally, we present computational results on the nonexistence of (q+1)12-ovoids of DH(5, q2) for q=3 and 5, using a simplification of the problem
    to (q+1)/2-ovoids of DW(5, q).
    Original languageEnglish
    QualificationMasters
    Awarding Institution
    • The University of Western Australia
    Award date8 Aug 2016
    Publication statusUnpublished - 2016

    Fingerprint

    Dive into the research topics of 'The m-covers and m-ovoids of generalised quadrangles and related structures'. Together they form a unique fingerprint.

    Cite this