An algebraic description of the elliptic cohomology of classifying spaces Original Research Article

Let G be a finite group of order ¦G¦ odd and let imageℓℓ* (−) circle times operatorimage[1/¦G¦] denote elliptic cohomology tensored by image[1/¦G¦]. Then we give a description of imageℓℓ* (E(N, G) × NX) circle times operator image[1/¦G¦], where N is a normal subgroup of G, E(N,G) is the universal N-free G space and X is any finite G-CW complex where N acts freely. We explain how some of the results of Hopkins-Kuhn-Ravenel can be recovered for our results.