Abstract
We give an example of a locally nilpotent group G containing a left 3-Engel element x where 〈x〉 G is not nilpotent.
| Original language | English |
|---|---|
| Pages (from-to) | 1092-1101 |
| Number of pages | 10 |
| Journal | Journal of Pure and Applied Algebra |
| Volume | 224 |
| Issue number | 3 |
| Early online date | 22 Jul 2019 |
| DOIs | |
| Publication status | E-pub ahead of print - 22 Jul 2019 |
Keywords
- Engel elements
- Enveloping algebras
- Lie algebras
ASJC Scopus subject areas
- Algebra and Number Theory
Cite this
A left 3-Engel element whose normal closure is not nilpotent. / Noce, Marialaura; Tracey, Gareth; Traustason, Gunnar.
In: Journal of Pure and Applied Algebra, Vol. 224, No. 3, 01.03.2020, p. 1092-1101.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A left 3-Engel element whose normal closure is not nilpotent
AU - Noce, Marialaura
AU - Tracey, Gareth
AU - Traustason, Gunnar
PY - 2019/7/22
Y1 - 2019/7/22
N2 - We give an example of a locally nilpotent group G containing a left 3-Engel element x where 〈x〉 G is not nilpotent.
AB - We give an example of a locally nilpotent group G containing a left 3-Engel element x where 〈x〉 G is not nilpotent.
KW - Engel elements
KW - Enveloping algebras
KW - Lie algebras
UR - http://www.scopus.com/inward/record.url?scp=85069652366&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2019.07.004
DO - 10.1016/j.jpaa.2019.07.004
M3 - Article
VL - 224
SP - 1092
EP - 1101
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
IS - 3
ER -