The local nilpotence theorem for 4-engel groups revisited

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The proof of the local nilpotence theorem for 4-Engel groups was completed by G. Havas and M. Vaughan-Lee in 2005. The complete proof on the other hand is spread over several articles and the aim of this paper is to give a complete coherent linear version. In the process we are also able to make a few simplifications and in particular we are able to merge two of the key steps into one.

Original languageEnglish
Article number4
Pages (from-to)21-75
Number of pages55
JournalInternational Journal of Group Theory
Issue number3
Publication statusPublished - 22 Jul 2015


  • Commutator
  • Engel
  • Local nilpotence


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