A left 3-Engel element whose normal closure is not nilpotent

Marialaura Noce; Gareth Tracey; Gunnar Traustason

doi:10.1016/j.jpaa.2019.07.004

A left 3-Engel element whose normal closure is not nilpotent

Marialaura Noce, Gareth Tracey, Gunnar Traustason

Department of Mathematical Sciences

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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	https://doi.org/10.1016/j.jpaa.2019.07.004
Publication status	Published - 1 Mar 2020

Keywords

Engel elements
Enveloping algebras
Lie algebras

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/j.jpaa.2019.07.004

L3EngelExample.pdfAccepted author manuscript, 289 KBLicence: CC BY-NC-ND

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Cite this

Noce, M., Tracey, G., & Traustason, G. (2020). A left 3-Engel element whose normal closure is not nilpotent. Journal of Pure and Applied Algebra, 224(3), 1092-1101. https://doi.org/10.1016/j.jpaa.2019.07.004

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