Torsion points of generic formal groups

Rosen, Michael; Zimmermann, Karl

doi:10.1090/S0002-9947-1989-0974776-9

Torsion points of generic formal groups
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by Michael Rosen and Karl Zimmermann

Trans. Amer. Math. Soc. 311 (1989), 241-253

DOI: https://doi.org/10.1090/S0002-9947-1989-0974776-9

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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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Sur les group de Galois attaché aux groups

-divisible

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