The local nilpotence theorem for 4-Engel groups revisited

Document Type : Ischia Group Theory 2014


University of Bath


‎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.


Main Subjects

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Volume 4, Issue 3 - Serial Number 3
Proceedings of the Ischia Group Theory 2014-Part III.
September 2015
Pages 21-75
  • Receive Date: 24 January 2014
  • Revise Date: 28 May 2014
  • Accept Date: 01 June 2014
  • Published Online: 01 September 2015