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

Research output: Contribution to journal › Article › peer-review

6 Citations (SciVal)

106 Downloads (Pure)

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

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10.1016/j.jpaa.2019.07.004

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

Cite this

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title = "A left 3-Engel element whose normal closure is not nilpotent",

abstract = "We give an example of a locally nilpotent group G containing a left 3-Engel element x where 〈x〉 G is not nilpotent. ",

keywords = "Engel elements, Enveloping algebras, Lie algebras",

author = "Marialaura Noce and Gareth Tracey and Gunnar Traustason",

year = "2020",

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AU - Traustason, Gunnar

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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

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U2 - 10.1016/j.jpaa.2019.07.004

DO - 10.1016/j.jpaa.2019.07.004

M3 - Article

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JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

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

Abstract

Keywords

ASJC Scopus subject areas

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Left 3-Engel Elements in Groups

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Projects

Left 3-Engel Elements in Groups

Cite this