Left 3-Engel elements in groups of exponent 60

Gunnar Traustason, Gareth Tracey

Research output: Contribution to journalArticle

2 Citations (Scopus)
21 Downloads (Pure)

Abstract

Let G be a group and let x G be a left 3-Engel element of order dividing 60. Suppose furthermore that (x)G has no elements of order 8, 9 and 25. We show that x is then contained in the locally nilpotent radical of G. In particular, all the left 3-Engel elements of a group of exponent 60 are contained in the locally nilpotent radical.

Original languageEnglish
Pages (from-to)673-695
Number of pages23
JournalInternational Journal of Algebra and Computation
Volume28
Issue number4
Early online date15 May 2018
DOIs
Publication statusPublished - 1 Jun 2018

Keywords

  • Left engel
  • Nilpotent
  • Presentation

ASJC Scopus subject areas

  • Mathematics(all)

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