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

arxiv: 1811.12074 · v1 · pith:32QMVXTPnew · submitted 2018-11-29 · 🧮 math.GR

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

Marialaura Noce , Gareth M. Tracey , Gunnar Traustason This is my paper

classification 🧮 math.GR

keywords nilpotentelementengelleftclosurecontainingexamplegive

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We give an example of a locally nilpotent group $G$ containing a left $3$-Engel element $x$ where $\langle x\rangle^{G}$ is not nilpotent.

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