  We consider CR submersive mappings between generic submanifolds in complex
space. We show that, under suitable conditions on the manifolds, there is an
integer k such that any jet of the CR mapping at a given point is a rational
function of its k-jet at that point. As a consequence, it is shown that the
stability group of a (suitably nondegenerate) real-analytic generic submanifold
is a real algebraic Lie group. Moreover, it is shown that a formal equivalence
between two such real-analytic submanifolds is necessarily convergent.
