Some families of finite groups and their rings of invariants, by Stefan Kühnlein

This paper has now appeared in Acta Arithmetica XCI.2(1999), pp. 133-146, and so the preprint has been removed. Let G be a subgroup of GL(n,Z). I am interested in getting information on how the degrees of generators of the ring of mod-p-invariants of G varies depending on the prime number p. In particular, I want to study groups for which this degree depends polynomially on p. Some very natural groups, however, do not have this property.

Stefan Kühnlein <>