Metanilpotent varieties of groups

R. M. Bryant, A. N. Krasil'nikov

    Research output: Contribution to journalArticlepeer-review

    Abstract

    For each positive integer n let N 2,n denote the variety of all groups which are nilpotent of class at most 2 and which have exponent dividing n. For positive integers m and n, let N 2,mN 2,n denote the variety of all groups which have a normal subgroup in N 2,m with factor group in N 2,n. It is shown that if G ∈ N 2,mN 2,n, where m and n are coprime, then G has a finite basis for its identities.
    Original languageEnglish
    Pages (from-to)55-84
    Number of pages29
    JournalAustralian Mathematical Society. Journal
    Volume73
    Issue number1
    DOIs
    Publication statusPublished - Aug 2002

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