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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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
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author Gunnar Traustason
author_facet Gunnar Traustason
author_sort Gunnar Traustason
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description 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.
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spelling doaj-art-d1608dfd65c74a4297b08bca5c8783102025-08-19T21:03:21ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692015-09-01432175The local nilpotence theorem for 4-Engel groups revisitedGunnar Traustason 0University of BathThe 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.http://www.theoryofgroups.ir/pdf_5551_c975d089a43eec9ab751688d5f9df967.html4-Engelnilpotenceleft Engel
spellingShingle Gunnar Traustason
The local nilpotence theorem for 4-Engel groups revisited
4-Engel
nilpotence
left Engel
title The local nilpotence theorem for 4-Engel groups revisited
title_full The local nilpotence theorem for 4-Engel groups revisited
title_fullStr The local nilpotence theorem for 4-Engel groups revisited
title_full_unstemmed The local nilpotence theorem for 4-Engel groups revisited
title_short The local nilpotence theorem for 4-Engel groups revisited
title_sort local nilpotence theorem for 4 engel groups revisited
topic 4-Engel
nilpotence
left Engel
url http://www.theoryofgroups.ir/pdf_5551_c975d089a43eec9ab751688d5f9df967.html
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