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On the fixed points of a finite group acting on a relatively free lie algebra

  • R. M. Bryant
  • , A. I. Papistas

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We show that if F is a free Lie algebra of rank at least 2 and if G is a non-trivial finite group of automorphisms of F then the fixed point subalgebra FG is not finitely generated. Some similar results are proved for relatively free Lie algebras. © Glasgow Mathematical Journal Trust 2000.
    Original languageEnglish
    Pages (from-to)167-181
    Number of pages14
    JournalGlasgow Mathematical Journal
    Volume42
    Issue number2
    Publication statusPublished - 2000

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