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|Type:||Artigo de periódico|
|Title:||A recursive description of pro-p Galois groups|
|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.|
free pro-p product
|Editor:||Academic Press Inc Elsevier Science|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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