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arXiv · 1811.12074

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

Marialaura Noce·Gareth M. Tracey·Gunnar Traustason
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Abstract

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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Marialaura Noce, Gareth M. Tracey, Gunnar Traustason. 2018-11-29. A left $3$-Engel element whose normal closure is not nilpotent. https://arxiv.org/abs/1811.12074

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