Title:   The subring of group cohomology constructed by
         permutation representations

Authors: David J. Green  
         Ian J. Leary    
         Bj"orn Schuster 

Date:    21 April 1999

Status:  Submitted for publication

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.

1991 Mathematics Subject Classification: 20J06