3-groups are not determined by their integral cohomology rings 

Ian J. Leary 

Faculty of Mathematical Studies, University of Southampton, 
Southampton SO17 1BJ, United Kingdom.  

Abstract  We compute the integral cohomology rings of a family of
3-groups. As a corollary, we exhibit, for each n greater than or equal
to 5, a pair of groups of order 3^n whose integral cohomology rings
are isomorphic. 

J. Pure and Appl. Alg. 103 (1995), 61-79.