Title: The subring of group cohomology constructed by permutation representations Authors: David J. Green (green@math.uni-wuppertal.de) Ian J. Leary (ijl@maths.soton.ac.uk) Bj"orn Schuster (schuster@math.uni-wuppertal.de) Date: 21 April 1999 Status: Proc. Edinburgh Math. Soc. (2) 45 (2002), no. 1,241-253. Abstract: Each permutation representation of a finite group $G$ can be used to pull cohomology classes back from a symmetric group to $G$. We study the ring generated by all classes that arise in this fashion, describing its variety in terms of the subgroup structure of $G$. We also investigate the effect of restricting to special types of permutation representations, such as $GL_n(F_p)$ acting on flags of subspaces.