Symmetries of Arcs

Tim Penttila, C.M. O'Keefe

    Research output: Contribution to journalArticle

    7 Citations (Scopus)

    Abstract

    Korchmaros has classified (q+2)-arcs of PG(2,q), q even, which have a transitive collineation stabiliser. In this paper we characterise (q + 1)-arcs, q-arcs, and (q - 1)-arcs of PG(2, q), q even, which have a transitive homography stabiliser as conics, translation q-arcs, and monomial (q - 1)-arcs, respectively (although for (q - 1)-arcs we need the hypothesis that q/4 is not a twelfth power). (C) 1994 Academic Press, Inc.
    Original languageEnglish
    Pages (from-to)53-67
    JournalJournal of Combinatorial Theory Series A
    Volume66
    DOIs
    Publication statusPublished - 1994

    Cite this