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Locally nilpotent 4-Engel groups are Fitting groups

Traustason, Gunnar LU (2003) In Journal of Algebra 270(1). p.41482-41482
Abstract
Let G be a locally nilpotent 4-Engel group. We show that the normal closure of any element from G is nilpotent of class at most 4. When G has no element of order 2 or 5, the normal closure has class at most 3. These bounds are sharp. (C) 2003 Elsevier Inc. All rights reserved.
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 groups, locally nilpotent groups, Fitting groups
in
Journal of Algebra
volume
270
issue
1
pages
41482 - 41482
publisher
Elsevier
external identifiers
  • wos:000186694700002
  • scopus:0345448153
ISSN
0021-8693
DOI
language
English
LU publication?
yes
id
ecbb8048-5079-4565-aea6-a6c650682939 (old id 295057)
date added to LUP
2007-09-23 12:01:39
date last changed
2018-05-29 09:31:20
@article{ecbb8048-5079-4565-aea6-a6c650682939,
  abstract     = {Let G be a locally nilpotent 4-Engel group. We show that the normal closure of any element from G is nilpotent of class at most 4. When G has no element of order 2 or 5, the normal closure has class at most 3. These bounds are sharp. (C) 2003 Elsevier Inc. All rights reserved.},
  author       = {Traustason, Gunnar},
  issn         = {0021-8693},
  keyword      = {Engel groups,locally nilpotent groups,Fitting groups},
  language     = {eng},
  number       = {1},
  pages        = {41482--41482},
  publisher    = {Elsevier},
  series       = {Journal of Algebra},
  title        = {Locally nilpotent 4-Engel groups are Fitting groups},
  url          = {http://dx.doi.org/},
  volume       = {270},
  year         = {2003},
}