Point-primitive generalised hexagons and octagons

John Bamberg, S. P. Glasby, Tomasz Popiel, Cheryl E. Praeger, Csaba Schneider

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    The only known examples of finite generalised hexagons and octagons arise from the finite almost simple groups of Lie type G2, D43, and F42. These groups act transitively on flags, primitively on points, and primitively on lines. The best converse result prior to the writing of this paper was that of Schneider and Van Maldeghem (2008): if a group G acts flag-transitively, point-primitively, and line-primitively on a finite generalised hexagon or octagon, then G is an almost simple group of Lie type. We strengthen this result by showing that the same conclusion holds under the sole assumption of point-primitivity.

    Original languageEnglish
    Pages (from-to)186-204
    Number of pages19
    JournalJournal of Combinatorial Theory. Series A
    Volume147
    DOIs
    Publication statusPublished - 1 Apr 2017

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