Sur la trivialit{\'e} de certains modules d'Iwasawa

TL;DR

This paper investigates the conditions under which certain classical Iwasawa modules are trivial, linking this to the concept of ll-rationality in totally ll-adic number fields.

Contribution

It introduces a new connection between the triviality of Iwasawa modules and ll-rationality in totally ll-adic fields, providing insights into their structure.

Findings

Identifies conditions for triviality of Iwasawa modules

Links ll-rationality to module triviality in number fields

Enhances understanding of Iwasawa theory in ll-adic contexts

Abstract

We discuss the triviality of some classical Iwasawa modules in connection with the notion of $\ell$-rationality for totally $\ell$-adic number fields.