Two regular unipotent generation conjecture for quasisimple groups of Lie type

Let GG be a quasisimple finite group of Lie type, and exclude the case G=SL2(q)G=SL_2(q) with qq even.

Two regular unipotent generation conjecture. Then GG is generated by two regular unipotent elements.

This is a broader formulation concerning quasisimple, rather than only simple, finite groups of Lie type. It does not require the two regular unipotent elements to be conjugate; the paper’s surrounding discussion places it among questions about generation by special element classes.

Sources & referencesView supporting material

Primary source

M. A. Pellegrini and A. E. Zalesski, “Minimal generation of finite simple groups of Lie type by regular unipotent elements”, arXiv:2511.12683 (2025).

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