The local nilpotence theorem for 4-Engel groups revisited

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 few...

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Bibliographic Details
Published in:International Journal of Group Theory
Main Author: Gunnar Traustason
Format: Article
Language:English
Published: University of Isfahan 2015-09-01
Subjects:
Online Access:http://www.theoryofgroups.ir/pdf_5551_c975d089a43eec9ab751688d5f9df967.html
Description
Summary: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 few simplifications and in particular we are able to merge two of the key steps into one.
ISSN:2251-7650
2251-7669