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.
Pellegrini, M. A., Zalesski, A. E., Minimal generation of finite simple groups of Lie type by regular unipotent elements, <<EUROPEAN JOURNAL OF MATHEMATICS>>, 2026; 12 (N/A): N/A-N/A. [doi:10.1007/s40879-026-00895-4] [https://hdl.handle.net/10807/336537]
Minimal generation of finite simple groups of Lie type by regular unipotent elements
Pellegrini, Marco Antonio
Primo
;
2026
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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