Localising subcategories for cochains on the classifying space of a finite group

Abstract

The localising subcategories of the derived category of the cochains on the classifying space of a finite group are classified. They are in one to one correspondence with the subsets of the set of homogeneous prime ideals of the cohomology ring $H^{\ast }(G,k)$.

5 pages, minor changes, accepted for publication in C. R. Math. Acad. Sci. Paris