A note on the local nilpotence of 4-Engel groups
(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:
https://lup.lub.lu.se/record/226316
- author
- Traustason, Gunnar LU
- organization
- publishing date
- 2005
- 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
- 2022-03-30 06:31:57
@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}}, }