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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Finite subgroups of formal $ A$-modules over $ {\germ p}$-adic integer rings


Author: Tetsuo Nakamura
Journal: Trans. Amer. Math. Soc. 286 (1984), 765-769
MSC: Primary 14L05
MathSciNet review: 760985
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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.


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DOI: https://doi.org/10.1090/S0002-9947-1984-0760985-6
Keywords: Formal module (group), Tate module, special element, logarithm of formal group
Article copyright: © Copyright 1984 American Mathematical Society