Stable equivalence and generic modules

Let Lambda and Gamma be finite dimensional algebras. It is shown that any s table equivalence f : (mod) over bar Lambda --> (mod) over bar Gamma betwee n the categories of finitely generated modules induces a bijection M --> M- f between the sets of isomorphism classes of generic modules over Lambda an d Gamma such that the endolength of M-f is bounded by the endolength of M u p to a scalar which depends only on f. Using Crawley-Boevey's characterizat ion of tame representation type in terms of generic modules, one obtains as a consequence a new proof for the fact that a stable equivalence preserves tameness. This proof also shows that polynomial growth is preserved.