Groups with exponent six

G. Havas, M.F. Newman, Alice Niemeyer, C. Sims

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    Burnside asked questions about periodic groups in his influential paper of 1902. The study of groups with exponent six is a special case of the study of the Burnside questions on which there has been significant progress. It has contributed a number of worthwhile aspects to the theory of groups and in particular to computation related to groups. Finitely generated groups with exponent six are finite. We investigate the nature of relations required to provide proofs of finiteness for some groups with exponent six. We give upper and lower bounds for the number of sixth powers needed to define the largest 2-generator group with exponent six. We solve related questions about other groups with exponent sis using substantial computations which we explain.
    Original languageEnglish
    Pages (from-to)3619-3638
    JournalCommunications in Algebra
    Volume27
    Issue number8
    DOIs
    Publication statusPublished - 1999

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