Sur les corps de nombres r�guliers

On the T-ramified, S-split p-class field towers over an extension of degree prime to p

“…is that L/K be p-primitively ramified (see [G,Ch. IV,§3,(b)], [GJ1,§1], [GJ2,§1], [JN,§1.2], [MN,§2.1], or [Mo]), but this does not work for the case of extensions of degree prime to p.…”

Sur la dimension cohomologique des pro-p-extensions des corps de nombres

“…A noter que dans [10], on trouve une généralisation du logarithme de Gras. Soit un corps de nombres K contenant les racines p-èmes de l'unité.…”

On the structure of the Galois group of the Abelian closure of a number field

“…The number field K is said to be p-rational (see e.g. [13], [4], [10], [5], IV.3.4.4) if it satisfies the Leopoldt conjecture for p and if…”

“…4 We have a group isomorphism of the form Let L K =: L be the compositum, over p, of some finite extensions…”