English

Sous-modules d'unit\'es en th\'eorie d'Iwasawa

Number Theory 2009-12-15 v1

Abstract

We give a necessary and sufficient "Galois descent" condition to the freeness of the Iwasawa module built from Sinnott's circular units. Then we describe explicit examples for which this condition is not fulfilled.

Cite

@article{arxiv.0912.2520,
  title  = {Sous-modules d'unit\'es en th\'eorie d'Iwasawa},
  author = {Jean-Robert Belliard},
  journal= {arXiv preprint arXiv:0912.2520},
  year   = {2009}
}
R2 v1 2026-06-21T14:23:17.081Z