5-Engel Lie algebras
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914660477829120 |
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| author | Vaughan-Lee, Michael |
| author_facet | Vaughan-Lee, Michael |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01785 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | 5-Engel Lie algebras Vaughan-Lee, Michael Group Theory 17B30, 20D15, 20F45 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. |
| title | 5-Engel Lie algebras |
| topic | Group Theory 17B30, 20D15, 20F45 |
| url | https://arxiv.org/abs/2401.01785 |