Généralisation dun Théorème dIwasawaReportar como inadecuado

Généralisation dun Théorème dIwasawa - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 IMB - Institut de Mathématiques de Bordeaux

Abstract : 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.

keyword : Iwasawa theory Iwasawa invariants

Autor: Jean-François Jaulent -

Fuente: https://hal.archives-ouvertes.fr/


Documentos relacionados