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

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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Publication Details

Journal
European Journal of Mathematics
Published
2026-05-22
DOI
https://doi.org/10.1007/s40879-026-00895-4
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00

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article

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

Marco Antonio Pellegrini, Alexandre Zalesski
European Journal of Mathematics
Finite Group Theory Research
article

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

Marco Antonio Pellegrini, Alexandre Zalesski
article en

Abstract

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 .

European Journal of MathematicsVol. 12(2)
Università Cattolica del Sacro Cuore (IT), Universidade de Brasília (BR)
Università Cattolica del Sacro Cuore
Openalex Percentile: Top 96%
Finite Group Theory Research
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