Lifting Subgroups of Symplectic Groups over $\mathbb{Z}/\ell \mathbb{Z}$

Aaron Landesman, Ashvin Swaminathan, James Tao +1

For a positive integer $g$, let ${\mathrm{Sp}}_{2g}(R)$ denote the group of $2g\times 2g$ symplectic matrices over a ring $R$. Assume $g\ge 2$. For a prime number $\ell$, we give a…