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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Torsion points of generic formal groups


Authors: Michael Rosen and Karl Zimmermann
Journal: Trans. Amer. Math. Soc. 311 (1989), 241-253
MSC: Primary 14L05; Secondary 11S31
MathSciNet review: 974776
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Abstract: Let $ F$ be a generic formal group of height $ h$ defined over $ A = {{\mathbf{Z}}_p}[[{t_1}, \ldots ,{t_{h - 1}}]]$. Let $ K$ be the quotient field of $ A$. We show the natural map $ {\rho _n}:{\text{Gal}}(K(\operatorname{ker} [{p^n}])/K) \to G{L_h}({\mathbf{Z}}/{p^n}{\mathbf{Z}})$ isomorphisms for all $ n \ge 1$ provided $ p \ne 2$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1989-0974776-9
PII: S 0002-9947(1989)0974776-9
Keywords: Generic formal group, Galois representation, local ring, Newton polygon
Article copyright: © Copyright 1989 American Mathematical Society