In this talk I will first prove (in parts) a modeltheoretic result of Point, namely that X(K) is isomorphic to the ultraproduct of the X(K_i) where X is a Lie type, the K_i are a family of finite fields and K is the ultraproduct of the K_i (we use a non-principal ultrafilter on the natural numbers for the ultraproducts). Using Point's result I will show that Wilson's result holds for groups of the same Lie type, i.e. j=j(X) is depending on the Lie type. Together with a number of other results one can finally prove Wilson's result.