Group schemes of period p>2.

Abstract

For a prime number p>2 we give a direct proof of Breuil's classification of finite flat group schemes killed by p over the valuation ring of a p-adic field with perfect residue field. As application we establesh a correspondence between finite flat group schemes and Faltings's strict modules whiich respects associated Galois modules via the Fontaine-Wintenberger field-of-norms functor.