DEFORMATIONS OF FINITE P-GROUP SCHEMES TO A FORMAL SCHEME

Let S be a scheme over a perfect field K of characteristic p > 0 and l et W (k) be the ring of Witt vectors. Let T be a p-torsion free formal W(k)-scheme (for the p-adic topology). Let S --> T be a closed W(k)-i mmersion defined by an ideal equipped with divided powers. This Note p resents a classification of the liftings to T, of commutative and loca lly free S-group-schemes with rank a power of p, called finite p-group s.