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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
10.1016/j.jalgebra.2003.07.012
language
English
LU publication?
yes
id
ecbb8048-5079-4565-aea6-a6c650682939 (old id 295057)
date added to LUP
2016-04-01 12:24:53
date last changed
2022-01-27 03:27:22
@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}},
  keywords     = {{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/10.1016/j.jalgebra.2003.07.012}},
  doi          = {{10.1016/j.jalgebra.2003.07.012}},
  volume       = {{270}},
  year         = {{2003}},
}