Généralisation d'un Théorème d'Iwasawa
| dc.creator | Jaulent, Jean-François | |
| dc.date | 2008-01-07 | |
| dc.date | 2008-03-10 | |
| dc.date.accessioned | 2026-07-07T09:25:29Z | |
| dc.date.available | 2026-07-07T09:25:29Z | |
| dc.description | We extend to convenient finite quotients of a noetherian Lambda-module the classical result of K. Iwasawa giving the asymptotic expression of the l-part of the number of ideal class groups in Zl-extensions of number fields. Then, in the arithmetic context, we compute the three characters associated by this way to the l-groups of T-infinitesimal S-classes in the cyclotomic tower and relate them to the classical invariants and the decomposition characters associated to the finite sets of places S and T. A main tool in this study is the so-called Spiegelungssatz of Georges Gras, which exchanges (wild or tame) ramification and decomposition. The main results of this arithmetical part extend those we obtained with Christian Maire in a previous article. The most intricate study of the wild contribution of the sets S and T involves a generalization of a classical result of R. Greenberg on the genus theory of cyclotomic towers. | |
| dc.identifier | https://arxiv.org/abs/0801.0920 | |
| dc.identifier | http://arxiv.org/abs/0801.0920 | |
| dc.identifier | Journal de Théorie des Nombres de Bordeaux 17 (2005) 527--553 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156421 | |
| dc.subject | Number Theory | |
| dc.subject | 11R23 | |
| dc.title | Généralisation d'un Théorème d'Iwasawa | |
| dc.type | text |