Two generator 4-Engel groups

Gunnar Traustason

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

Using known results on 4-Engel groups one can see that a 4-Engel group is locally nilpotent if and only if all its 3-generator subgroups are nilpotent. As a step towards settling the question whether all 4-Engel groups are locally nilpotent we show that all 2-generator 4-Engel groups are nilpotent.
Original languageEnglish
Pages (from-to)309-316
JournalInternational Journal of Algebra and Computation
Volume15
Issue number2
DOIs
Publication statusPublished - 2005

Subject classification (UKÄ)

  • Mathematics

Keywords

  • commutator calculus
  • Engel
  • nilpotent

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