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On the structure of the Galois group of the Abelian closure of a number field
Published in: Journal de Théorie des Nombres de Bordeaux, Tome 26 (2014) no. 3, pp. 635-654 -
A formal approach "à la Neukirch" of $\ell$-adic class field theory
Neukirch developed abstract class field theory in his famous book "Class Field Theory". We show that it is possible to derive Jaulent's '-adic class field from... -
Contribution of the study of Gras conjecture and Iwasawa’s main conjecture, b...
The goal of this work is to show how Euler systems allows us to compare, for some abelian extensions, the Galois module of global units modulo Stark units with the... -
Deformation extensions slightly branched P
Deformation extensions slightly branched P -
On Z_p-extensions of real abelian number fields
This thesis focuses on the so-called Greenberg Conjecture in Iwasawa theory, stating that the class numbers of number fields belonging to a Z_p-extension of a real...
