A Summary of Known Bounds on the Essential Dimension and Resolvent Degree of Finite Groups

Alexander J. Sutherland

Published 2023-12-07Version 1

We summarize what is currently known about ed$(G)$ and RD$(G)$ for finite groups $G$ over $\mathbb{C}$ (i.e. in characteristic 0). In Appendix A, we also give an argument which improves the known bound on RD(PSL$(2,\mathbb{F}_{11})$).