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Two generator 4-Engel groups

Traustason, Gunnar LU (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:
author
organization
publishing date
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
2025-10-14 09:37:31
@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}},
}