Recovering p-adic valuations from pro-p Galois groups

Let (Formula presented.) be a field with (Formula presented.), where (Formula presented.) denotes the maximal pro-2 quotient of the absolute Galois group of a field (Formula presented.). We prove that then (Formula presented.) admits a (non-trivial) valuation (Formula presented.) which is 2-henselia...

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Bibliographic Details
Main Authors: Koenigsmann, J, Strommen, K
Format: Journal article
Language:English
Published: Wiley 2024