AS-configurations and skew-translation generalised quadrangles

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    Abstract

    © 2014 . The only known skew-translation generalised quadrangles (STGQ) having order (q, q), with q even, are translation generalised quadrangles. Equivalently, the only known groups G of order q3, q even, admitting an Ahrens-Szekeres (AS-)configuration are elementary abelian. In this paper we prove results in the theory of STGQ giving (i) new structural information for a group G admitting an AS-configuration, (ii) a classification of the STGQ of order (8, 8), and (iii) a classification of the STGQ of order (q, q) for odd q (using work of Ghinelli and Yoshiara).
    Original languageEnglish
    Pages (from-to)311-330
    Number of pages20
    JournalJournal of Algebra
    Volume421
    DOIs
    Publication statusPublished - 1 Jan 2015

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