Locally finite $p$-groups with a left 3-Engel element whose normal closure is not nilpotent

Anastasia Hadjievangelou; Marialaura Noce; Gunnar Traustason

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arXiv · 2007.09882

Locally finite $p$-groups with a left 3-Engel element whose normal closure is not nilpotent

Anastasia Hadjievangelou·Marialaura Noce·Gunnar Traustason

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Abstract

For any odd prime $p$, we give an example of a locally finite $p$-group $G$ containing a left 3-Engel element $x$ where $\langle x \rangle^G$ is not nilpotent.

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Anastasia Hadjievangelou, Marialaura Noce, Gunnar Traustason. 2020-07-20. Locally finite $p$-groups with a left 3-Engel element whose normal closure is not nilpotent. https://arxiv.org/abs/2007.09882

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