Locally nilpotent 4-Engel groups are Fitting groups
(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:
https://lup.lub.lu.se/record/295057
- author
- Traustason, Gunnar LU
- organization
- publishing date
- 2003
- 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}}, }