Abstract
After a brief review of facts about finite locally free commutative group schemes in § 1, we define p-divisible groups in § 2, and discuss their relation to formal Lie groups. The § 3 contains some theorems about the action of Gal (K̄/K) on the completion C of the algebraic closure of a local field K of characteristic 0. In § 4 these theorems are applied to obtain information about the Galois module of points of finite order on a p-divisible group G defined over the ring of integers R in such a field K, and to prove that G is determined by that Galois module, or, what is the same, by its generic fiber G ×R K.
The research described here has been partially supported by NSF.
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Tate, J.T. (1967). p-Divisible Groups. In: Springer, T.A. (eds) Proceedings of a Conference on Local Fields. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87942-5_12
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DOI: https://doi.org/10.1007/978-3-642-87942-5_12
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