Minimal generation of finite simple groups of Lie type by regular unipotent elements

M. A. Pellegrini; A. E. Zalesski

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arXiv · 2511.12683

Minimal generation of finite simple groups of Lie type by regular unipotent elements

M. A. Pellegrini·A. E. Zalesski

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Abstract

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 $G$.

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M. A. Pellegrini, A. E. Zalesski. 2025-11-16. Minimal generation of finite simple groups of Lie type by regular unipotent elements. https://arxiv.org/abs/2511.12683

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