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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)1092-1101
Number of pages10
JournalJournal of Pure and Applied Algebra
Volume224
Issue number3
Early online date22 Jul 2019
DOIs
Publication statusE-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 journalArticle

@article{759a961693604082b4ee4add3e854064,
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 = "2019",
month = "7",
day = "22",
doi = "10.1016/j.jpaa.2019.07.004",
language = "English",
volume = "224",
pages = "1092--1101",
journal = "Journal of Pure and Applied Algebra",
issn = "0022-4049",
publisher = "Elsevier",
number = "3",

}

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 -