Finitely generated pro-p Galois groups of p-Henselian fields

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Abstract

Let p be a prime number, let K be a field of characteristic 0 containing a primitive root of unity of order p. Also let υ be a p-henselian (Krull) valuation on K with residue characteristic p. We determine the structure of the maximal pro-p Galois group GK(p) of K, provided that it is finitely generated. This extends classical results of Demuškin, Serre and Labute.

Original languageEnglish
Pages (from-to)215-228
Number of pages14
JournalJournal of Pure and Applied Algebra
Volume138
Issue number3
DOIs
StatePublished - 27 May 1999

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