Author: Peter Webb email: webb@math.umn.edu home page: http://www.math.umn.edu/~webb Address: School of Mathematics, University of Minnesota, Minneapolis MN 55455 Title: Graded G-sets, symmetric powers of permutation modules and the cohomology of wreath products Abstract: The Poincare series of the cohomology ring of a wreath product of groups may be rather easily computed by a combinatorial procedure in terms of the Poincare series of the groups in the wreath product. The method is applied to the cohomology of the Sylow 2-subgroup of GL(4,2), and also gives the decomposition of symmetric powers of permutation modules. Journal: Contemporary Math. 146 (1993), 441-452.