Note on 2-rational fields

Georges Gras (1) , Jean-François Jaulent (2)

1 Chercheur indépendant
2 IMB - Institut de Mathématiques de Bordeaux

We compute the Galois group of the maximal 2-ramified and complexified pro-2-extension of any 2-rational number field.

Mots clés: $\ell$-rational fields; $\ell$-regular fields; $\ell$-ramification; class field theory; 2-rational fields; 2-regular fields; p-rational fields; p-regular fields

Domaines: Théorie des nombres [math.NT]

Georges Gras, Jean-François Jaulent. Note on 2-rational fields. Journal of Number Theory, 2009, 129 (2), pp.495-498. ⟨hal-00278094⟩