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<p>We prove that every finite simple group of Lie type <i>G</i> can be generated by three regular unipotent elements. In certain cases we show that two regular unipotents are sufficient to generate <i>G</i>.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月22日

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  • Marco A. Pellegrini,
  • Alexandre E. Zalesski

摘要

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.