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Type: Artigo de periódico
Title: A recursive description of pro-p Galois groups
Author: Engler, AJ
Abstract: In this note we study a modified version of the "Elementary Type Conjecture" for pro-p Galois groups. To be precise, let G(p) (F) be the Galois group of the maximal Galois p-extension of a field F containing a primitive pth root of unity. Under some natural assumptions concerning valuation rings of F (and also orderings of F when p = 2), we prove that Gp(F) can be obtained from suitable closed subgroups using a finite number of free pro-p products and semidirect products. (C) 2004 Published by Elsevier Inc.
Subject: valuation
pro-p group
free pro-p product
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/j.jalgebra.2003.12.014
Date Issue: 2004
Appears in Collections:Unicamp - Artigos e Outros Documentos

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