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2025-09-24 08:53:34

On the resolvent degree of PSU(3,q)
Pablo Nicolas Christofferson, Akash Ganguly, Claudio Gomez-Gonzales, Ella Kuriyama, Yihan Carmen Li, Nawal Baydoun
arxiv.org/abs/2509.19237

On the resolvent degree of PSU(3,q)
Resolvent degree ($\operatorname{RD}$) is an invariant of finite groups in terms of the complexity of their algebraic actions. We address the problem of bounding $\operatorname{RD}(G)$ for all finite simple groups using the methods established by Gómez-Gonzáles-Sutherland-Wolfson in terms of $\operatorname{RD}^{\leq d}_{\mathbb{C}}$-versality and special points. We give upper bounds on $\operatorname{RD}(\operatorname{PSU}(3,q))$ and $\operatorname{RD}(\operatorname{PSU}(2, q))$ in terms of c…