Minimal generation of finite simple groups of Lie type by regular unipotent elements
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914160275619840 |
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| author | Pellegrini, M. A. Zalesski, A. E. |
| author_facet | Pellegrini, M. A. Zalesski, A. E. |
| contents | We prove that every finite simple group of Lie type $G$ can be generated by three regular unipotent elements. In certain cases we show that two regular unipotents are sufficient to generate $G$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12683 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minimal generation of finite simple groups of Lie type by regular unipotent elements Pellegrini, M. A. Zalesski, A. E. Group Theory 20F05, 20D06 We prove that every finite simple group of Lie type $G$ can be generated by three regular unipotent elements. In certain cases we show that two regular unipotents are sufficient to generate $G$. |
| title | Minimal generation of finite simple groups of Lie type by regular unipotent elements |
| topic | Group Theory 20F05, 20D06 |
| url | https://arxiv.org/abs/2511.12683 |