by J. Lubin, J.-P. Serre and J. Tate

Errata and complements:

- On page 1, line -3, End
_{k}(F^{*}) should be End_{K}(F^{*}). - The current usage is "lifting" rather than "raising".
- The question on page 3 about the image of Galois is answered (affirmatively) in Serre, Sur les groupes de Galois attachés aux groupes p-divisibles. Proc. Conf. Local Fields (Driebergen, 1966) pp. 118--131 Springer, Berlin, 1967.
- Other proofs of the equivalence of the categories C
_{1}and C_{2}(page 5) can be found in Messing, The crystals associated to Barsotti-Tate groups: with applications to abelian schemes. Lecture Notes in Mathematics, Vol. 264. Springer-Verlag, Berlin-New York, 1972 and in Drinfeld, Coverings of p-adic symmetric domains. (Russian) Funkcional. Anal. i Prilozen. 10 (1976), no. 2, 29--40. - On page 7, line -14, "there are those" should be "these are those".
- On page 7, line -2, "degree between" should be "degree p between"

The paper:

- Page 1 (approx. 70K).
- Page 2 (approx. 70K).
- Page 3 (approx. 70K).
- Page 4 (approx. 70K).
- Page 5 (approx. 70K).
- Page 6 (approx. 70K).
- Page 7 (approx. 70K).
- Page 8 (approx. 40K).

Robert Harley has retyped the paper in TeX. Here it is in ps or pdf formats.

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