Some families of finite groups and their rings of invariants, 
by Stefan K\"uhnlein

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.