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arXiv · 1208.0583

Commuting-Liftable Subgroups of Galois Groups II

Adam Topaz
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Abstract

Let $n$ denote either a positive integer or $\infty$, let $\ell$ be a fixed prime and let $K$ be a field of characteristic different from $\ell$. 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 $\ell^n$-abelian Galois group of $K$ using the maximal $\ell^N$-abelian-by-central Galois group of $K$, whenever $N$ is sufficiently large relative to $n$.

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Adam Topaz. 2012-08-02. Commuting-Liftable Subgroups of Galois Groups II. https://doi.org/10.1515/crelle-2014-0115

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