Mathematics – Number Theory
Scientific paper
2011-05-12
Mathematics
Number Theory
Final version. To appear in Acta Arithmetica
Scientific paper
Let $p$ be a prime number and let $F$ be a field containing a root of unity
of order $p$. We prove that a certain very small canonical Galois group
$(G_F)_{[3]}$ over $F$ encodes the valuations on $F$ whose value group is not
$p$-divisible and which satisfy a variant of Hensel's lemma.
Efrat Ido
Minac Jan
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