Georges Gras, Jean-François Jaulent
Published 2008-05-08Version 1
We compute the Galois group of the maximal 2-ramified and complexified pro-2-extension of any 2-rational number field.
Comments: This Note is motivated by the paper ``Galois 2-extensions unramified outside 2'' of J. Jossey. We bring into focus some classical technics on abelian $\ell$-ramification which considerably simplify proofs in such subjects; for instance, the main Theorem 2, due to J-F. Jaulent, generalizes the purpose of Jossey's paper
Note sur les corps 2-rationnels
Rings of integers of type $K(π,1)$
Polynomials with roots in ${\Bbb Q}_p$ for all $p$
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