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Type: Artigo de periódico
Title: Abelian subgroups of pro-p Galois groups
Author: Engler, AJ
Koenigsmann, J
Abstract: It is proved that non-trivial normal abelian subgroups of the Galois group of the maximal Galois p-extension of a field F (where p is an odd prime) arise from p-henselian valuations with non-p-divisible value group, provided #(F/F-p) greater than or equal to p(2) and F contains a primitive p-th root of unity. Also, a generalization to arbitrary prime-closed Galois-extensions is given.
Subject: p-henselian
strongly p-rigid
Country: EUA
Editor: Amer Mathematical Soc
Rights: aberto
Identifier DOI: 10.1090/S0002-9947-98-02063-7
Date Issue: 1998
Appears in Collections:Unicamp - Artigos e Outros Documentos

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