Counting number fields with symplectic Galois group

Anwesh Ray

Let $n\ge 1$ and let $\ell$ be an odd prime. Let $G={\mathrm{PGSp}}_{2n}({\mathbb{F}}_{\ell })$ or ${\mathrm{GSp}}_{2n}({\mathbb{F}}_{\ell })$, and fix a faithful transitive permutation represe…