On p-periodicity in the Farrell cohomology of Sp(p-1,Z[1/n])

We describe isomorphism patterns in the $p$-primary part of the Farrell cohomology ring ${\widehat{H}}^{\ast }(Sp(p-1,Z[1\mathrm{/}n]),Z)$ for any odd prime $p$ and suitable integers $0\mathrm{\ne }n\in Z$, where $Sp(p-1,Z[1\mathrm{/}n])$ denotes the group of symplectic $(p-1)\times (p-1)$–matrices. Moreover, we determine the precise $p$-period of this ring.