Finite subgroups of formal 𝐴-modules over 𝔭-adic integer rings

Nakamura, Tetsuo

doi:10.1090/S0002-9947-1984-0760985-6

Finite subgroups of formal $A$-modules over $\mathfrak {p}$-adic integer rings
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by Tetsuo Nakamura PDF

Trans. Amer. Math. Soc. 286 (1984), 765-769 Request permission

Abstract:

Let $B \supset A$ be $\mathfrak {p}$-adic integer rings such that $A/{Z_p}$ is finite and $B/A$ is unramified. Generalizing a result of Fontaine on finite commutative $p$-group schemes, we show that galois homomorphisms of finite subgroups of one-dimensional formal $A$-modules over $B$ are given by power series.

References

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Groupes

divisibles sur les corps locaux

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