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A note on the local nilpotence of 4-Engel groups

Traustason, Gunnar LU (2005) In International Journal of Algebra and Computation 15(4). p.757-764
Abstract
Recently Havas and Vaughan-Lee proved that 4-Engel groups axe locally nilpotent. Their proof relies on the fact that a certain 4-Engel group T is nilpotent and this they prove using a computer and the Knuth-Bendix algorithm. In this paper we give a short handproof of the nilpotency of T.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Engel conditions, generalizations of solvable and nilpotent groups, commutator calculus
in
International Journal of Algebra and Computation
volume
15
issue
4
pages
757 - 764
publisher
World Scientific Publishing
external identifiers
  • wos:000231637600008
  • scopus:23844487456
ISSN
0218-1967
DOI
10.1142/S021819670500244X
language
English
LU publication?
yes
id
a8aeffb6-4ff3-460c-a6ab-e16dbd73a23b (old id 226316)
date added to LUP
2016-04-01 16:14:33
date last changed
2025-10-14 13:06:21
@article{a8aeffb6-4ff3-460c-a6ab-e16dbd73a23b,
  abstract     = {{Recently Havas and Vaughan-Lee proved that 4-Engel groups axe locally nilpotent. Their proof relies on the fact that a certain 4-Engel group T is nilpotent and this they prove using a computer and the Knuth-Bendix algorithm. In this paper we give a short handproof of the nilpotency of T.}},
  author       = {{Traustason, Gunnar}},
  issn         = {{0218-1967}},
  keywords     = {{Engel conditions; generalizations of solvable and nilpotent groups; commutator calculus}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{757--764}},
  publisher    = {{World Scientific Publishing}},
  series       = {{International Journal of Algebra and Computation}},
  title        = {{A note on the local nilpotence of 4-Engel groups}},
  url          = {{http://dx.doi.org/10.1142/S021819670500244X}},
  doi          = {{10.1142/S021819670500244X}},
  volume       = {{15}},
  year         = {{2005}},
}