Artículos de revistas
A recursive description of pro-p Galois groups
Registro en:
Journal Of Algebra. Academic Press Inc Elsevier Science, v. 274, n. 2, n. 511, n. 522, 2004.
0021-8693
WOS:000220527200004
10.1016/j.jalgebra.2003.12.014
Autor
Engler, AJ
Institución
Resumen
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. 274 2 511 522