A family of non-FSZ finite symplectic groups

Marc Keilberg

Let $p$ be an odd prime with $p\equiv 1\mathrm{mod}4$. Then for any odd power $q$ of $p$ and a positive integer $j$ we show that the groups ${\text{Sp}}_{p^j+1}(q),{\text{PSp}}_{p^j+1}(q)$, a…