  For a finite group $G$ and an arbitrary commutative ring $R$, Brou\'e has
placed a Frobenius exact structure on the category of finitely generated
$RG$-modules by taking the exact sequences to be those that split upon
restriction to the trivial subgroup. The corresponding stable category is then
tensor triangulated. In this paper we examine the case $R=S/t^n$, where $S$ is
a discrete valuation ring having uniformising parameter $t$. We prove that the
prime ideal spectrum (in the sense of Balmer) of this `relative' version of the
stable module category of $RG$ is a disjoint union of $n$ copies of that for
$kG$, where $k$ is the residue field of $S$.
