THE PRIME SPECTRA OF RELATIVE STABLE MODULE CATEGORIES
SHAWN BALAND, ALEXANDRU CHIRVASITU, AND GREG STEVENSON
To Dave Benson on the occasion of his 60th birthday
Abstract. For a finite group G and an arbitrary commutative ring R, Benson, Iyengar 
and Krause have defined a Frobenius exact structure on the category of finitely generated 
RG-modules by letting the exact sequences be those that split on restriction to the trivial 
subgroup. The corresponding stable category has a tensor triangulated structure. In this 
paper we examine the case where the coefficient ring R is Z/pn, showing that the prime 
ideal spectrum (in the sense of Balmer) of the relative stable category of RG is a disjoint 
union of n copies of that for FpG.