Permutation 3-groups with no fixed-point-free elements

Pablo Spiga

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    1 Citation (Scopus)


    In this paper we prove that for every n ≥ 3, there exists a permutation 3-group Pn such that Pn has five orbits, each of size at least 32n-1, and Pn has no fixed-point-free element. In particular, this gives, for the prime 3, an answer to a conjecture in [2] and [4]. © 2013 AMSS CAS & SUZHOU UNIV.
    Original languageEnglish
    Pages (from-to)383-394
    JournalAlgebra Colloquium
    Issue number3
    Publication statusPublished - 2013

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