Almost-Commuting-Liftable Subgroups of Galois Groups

Details Almost-Commuting-Liftable Subgroups of Galois Groups Almost-Commuting-Liftable Subgroups of Galois Groups

2012-02-08

arxiv.org/abs/1202.1786v2

Mathematics

Number Theory

Version 2: updated two references, added a few words to the argument in Theorem 3, fixed a few typos. All results and argument

Scientific paper

Let K be a field and \ell be a prime such that char K \neq \ell. In the
presence of sufficiently many roots of unity in K, we show how to recover some
of the inertia/decomposition structure of valuations inside the maximal
(\Z/\ell)-abelian resp. pro-\ell-abelian Galois group of K using its
(Z/\ell)-central resp. pro-\ell-central extensions.

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