Characterizing a family of elusive permutation groups

Michael Giudici, S. Kelly

    Research output: Contribution to journalArticlepeer-review

    8 Citations (Scopus)

    Abstract

    A finite transitive permutation group is said to be elusive if it has no fixed-point free elements of prime order. In this paper we show that all elusive groups G = N ⋊ G 1 with N an elementary abelian minimal normal subgroup and G 1 cyclic, can be constructed from transitive subgroups of AGL(1, p 2), for p a Mersenne prime, acting on the set of p(p + 1) lines of the affine plane AG(2, p).
    Original languageEnglish
    Pages (from-to)95-105
    JournalJournal of Group Theory
    Volume12
    Issue number1
    DOIs
    Publication statusPublished - 2009

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