  Let k be a perfect field of characteristic p>0. When p>2, Fontaine and
Laffaille have classified p-divisibles groups and finite flat p-groups over the
Witt vectors W(k) in terms of filtered modules. Still assuming p>2, we extend
these classifications over an arbitrary complete discrete valuation ring A with
unequal characteristic (0,p) and residue field k by using "generalized"
filtered modules. In particular, there is no restriction on the ramification
index. In the case k is included in \bar{F}_p (and p>2), we then use this new
classification to prove that any crystalline representation of the Galois group
of Frac(A) with Hodge-Tate weights in {0,1} contains as a lattice the Tate
module of a p-divisible group over A.
