5-Engel Lie algebras
Group Theory
2024-02-01 v2
Abstract
We prove that 5-Engel Lie algebras over a field of characteristic zero, or over a field of prime characteristic , are nilpotent of class at most 11. We also prove that if is a finite 5-Engel -group for then is nilpotent of class at most 10.
Keywords
Cite
@article{arxiv.2401.01785,
title = {5-Engel Lie algebras},
author = {Michael Vaughan-Lee},
journal= {arXiv preprint arXiv:2401.01785},
year = {2024}
}
Comments
13 pages, some typos corrected