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

2025/11/16 by Pellegrini, M. A., Zalesski, A. E.
#20D06 #20F05 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2511.12683

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.

Citations

• Derangements in non-Frobenius groups
• On the (2,3)-generation of the finite symplectic groups
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Related

• Generation of finite simple groups by an involution and an element of prime order
• Flexibility in generating sets of finite groups
• The (2,3)-generation of the classical simple groups of dimension 6 and 7
• The Spread of Almost Simple Classical Groups
• An incoherent simple group