Cohomology of toroidal orbifold quotients

Abstract: Let denote an integral representation of the cyclic group of prime order p. This induces a -action on the torus . The goal of this paper is to explicitly compute the cohomology groups for any such representation. As a consequence we obtain an explicit calculation of the integral cohomology of the classifying space associated to the family of finite subgroups for any crystallographic group with prime holonomy. [Copyright &y& Elsevier]