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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
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
2007-10-05 16:20:13
date last changed
2017-01-01 07:20:51
@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},
  keyword      = {commutator calculus,Engel,nilpotent},
  language     = {eng},
  number       = {2},
  pages        = {309--316},
  publisher    = {World Scientific},
  series       = {International Journal of Algebra and Computation},
  title        = {Two generator 4-Engel groups},
  url          = {http://dx.doi.org/10.1142/S0218196705002189},
  volume       = {15},
  year         = {2005},
}