Abelian-by-Central Galois Groups of Fields II: Definability of Inertia/Decomposition Groups

Adam Topaz

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arXiv · 1503.04368

Abelian-by-Central Galois Groups of Fields II: Definability of Inertia/Decomposition Groups

Adam Topaz

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Abstract

This paper explores some first-order properties of commuting-liftable pairs in pro-$\ell$ abelian-by-central Galois groups of fields. The main focus of the paper is to prove that minimized inertia and decomposition groups of many valuations are first-order definable using a predicate for the collection of commuting-liftable pairs.

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BibTeX RIS

Adam Topaz. 2015-03-15. Abelian-by-Central Galois Groups of Fields II: Definability of Inertia/Decomposition Groups. https://arxiv.org/abs/1503.04368

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