Two generator 4-Engel groups
(2005) In International Journal of Algebra and Computation 15(2). p.309-316- Abstract
- Using known results on 4-Engel groups one can see that a 4-Engel group is locally nilpotent if and only if all its 3-generator subgroups are nilpotent. As a step towards settling the question whether all 4-Engel groups are locally nilpotent we show that all 2-generator 4-Engel groups are nilpotent.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/237478
- author
- Traustason, Gunnar LU
- organization
- publishing date
- 2005
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- commutator calculus, Engel, nilpotent
- in
- International Journal of Algebra and Computation
- volume
- 15
- issue
- 2
- pages
- 309 - 316
- publisher
- World Scientific Publishing
- external identifiers
-
- wos:000229685400007
- scopus:18744380345
- ISSN
- 0218-1967
- DOI
- 10.1142/S0218196705002189
- language
- English
- LU publication?
- yes
- id
- dcafd690-ccc3-4355-87cf-4fdba136a881 (old id 237478)
- date added to LUP
- 2016-04-01 16:59:01
- date last changed
- 2022-03-30 19:42:45
@article{dcafd690-ccc3-4355-87cf-4fdba136a881, abstract = {{Using known results on 4-Engel groups one can see that a 4-Engel group is locally nilpotent if and only if all its 3-generator subgroups are nilpotent. As a step towards settling the question whether all 4-Engel groups are locally nilpotent we show that all 2-generator 4-Engel groups are nilpotent.}}, author = {{Traustason, Gunnar}}, issn = {{0218-1967}}, keywords = {{commutator calculus; Engel; nilpotent}}, language = {{eng}}, number = {{2}}, pages = {{309--316}}, publisher = {{World Scientific Publishing}}, series = {{International Journal of Algebra and Computation}}, title = {{Two generator 4-Engel groups}}, url = {{http://dx.doi.org/10.1142/S0218196705002189}}, doi = {{10.1142/S0218196705002189}}, volume = {{15}}, year = {{2005}}, }