  Let p be an odd prime, K a finite extension of Q_p, G=Gal(\bar K/K) the
Galois group and e=e(K/Q_p) the ramification index. Suppose T is a p^n torsion
representation such that T is isomorphic to a quotient of two G-stable
Z_p-lattices in a semi-stable representation with Hodge-Tate weights in
{0,...,r}. We prove that there exists a constant \mu explicitly depending on n,
e and r such that the upper numbering ramification group G^{(\mu)} acts on T
trivially.
