Sur la pro-p-extension localement cyclotomique maximale d'un corps de nombres
| dc.creator | Validire, Romain | |
| dc.date | 2008-12-09 | |
| dc.date.accessioned | 2026-07-07T12:10:49Z | |
| dc.date.available | 2026-07-07T12:10:49Z | |
| dc.description | Let p be a prime number and F be a number field. We consider the Galois group G over the cyclotomic Z_p extension of F of the maximal unramified, p-decomposed, pro-p-extension of the cyclotomic Z_p extension of F. The question whether G is free pro-p was already asked by many authors. In this article, we highlight a link between the freeness of G and the Galois descent for some localisation kernels. Then we give explicit criterions to show that G is not a free pro-p-group. | |
| dc.identifier | https://arxiv.org/abs/0812.1687 | |
| dc.identifier | http://arxiv.org/abs/0812.1687 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210041 | |
| dc.subject | Number Theory | |
| dc.title | Sur la pro-p-extension localement cyclotomique maximale d'un corps de nombres | |
| dc.type | text |