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

Abstract

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

arXiv comment15 pages, LaTeX2e. Revised version, in addition an example has been added

References in corpus (1)

• Conjugacy classes of p-torsion in symplectic groups over S-integers

Cited by in corpus (1)

• Conjugacy classes of p-torsion in symplectic groups over S-integers