Author: 

Dr.~M.~Hertweck, Universit\"at Stuttgart, Pfaffenwaldring 57, 
D-70550 Stuttgart, Germany 

Fax: (49 711)685-5304

Title:

A counterexample of the isomorphism problem for integral group rings

Abstract:

The question whether a finite group $X$ is determined by its 
integral group ring $\ZZ X$ is known as the `isomorphism problem 
for integral group rings'. It was first posed by Graham Higman in his thesis.
In this paper, a counterexample to the isomorphism problem is given.

Current status: submitted for publication