On Higher Class Groups of Orders, 
by Manfred Kolster and Reinhard C. Laubenbacher

In this paper we study the torsion in odd-dimensional higher class groups 
of orders in semi-simple algebras over number fields. We show that the only 
torsion which can appear is for rational primes lying under prime ideals at 
which the order is not maximal, and we determine part of the structure of 
this torsion. These results are applied to integral group rings of symmetric
groups and Dihedral groups. Also, we relate the structure of the higher 
odd-dimensional class groups of an integral group ring of a finite group to 
homomorphisms on its representation ring with values in twisted roots of 
unity, and, for abelian groups, also to homogeneous functions on the group.