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arXiv · 2401.01785

5-Engel Lie algebras

Michael Vaughan-Lee
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Abstract

We prove that 5-Engel Lie algebras over a field of characteristic zero, or over a field of prime characteristic $p>7$, are nilpotent of class at most 11. We also prove that if $G$ is a finite 5-Engel $p$-group for $p>7$ then $G$ is nilpotent of class at most 10.

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Michael Vaughan-Lee. 2024-01-03. 5-Engel Lie algebras. https://arxiv.org/abs/2401.01785

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