A left 3-Engel element whose normal closure is not nilpotent

Marialaura Noce, Gareth Tracey, Gunnar Traustason

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We give an example of a locally nilpotent group G containing a left 3-Engel element x where 〈x〉 G is not nilpotent.

Original languageEnglish
Pages (from-to)1092-1101
Number of pages10
JournalJournal of Pure and Applied Algebra
Issue number3
Early online date22 Jul 2019
Publication statusPublished - 1 Mar 2020


  • Engel elements
  • Enveloping algebras
  • Lie algebras

ASJC Scopus subject areas

  • Algebra and Number Theory

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