Stability of the centers of the symplectic groups rings $\matbb{Z}[Sp_{2n}(q)]$

Safak Ozden

We investigate the structure constants of the center ${\mathcal{H}}_n$ of the group algebra $S{p}_n(q)$ over a finite field. The reflection length on the group $G{L}_{2n}(q)$ induces a…