Two regular unipotent generation conjecture for quasisimple groups of Lie type
Two regular unipotent generation conjecture for quasisimple groups of Lie type
Let be a quasisimple finite group of Lie type, and exclude the case with even.
Two regular unipotent generation conjecture. Then 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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