\title[Localising subcategories for cochains on $BG$]{Localising subcategories for cochains on the classifying space of a finite group} \author{Dave Benson} \address{Dave Benson \\ Institute of Mathematics\\ University of Aberdeen\\ King's College\\ Aberdeen AB24 3UE\\ Scotland U.K.} \author{Srikanth B. Iyengar} \address{Srikanth B. Iyengar\\ Department of Mathematics\\ University of Nebraska\\ Lincoln, NE 68588\\ U.S.A.} \author{Henning Krause} \address{Henning Krause\\ Fakult\"at f\"ur Mathematik\\ Universit\"at Bielefeld\\ 33501 Bielefeld\\ Germany.} \begin{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 $H^*(G,k)$. \end{abstract}