Note on 2-rational fields
Number Theory
2021-08-06 v1
Abstract
We compute the Galois group of the maximal 2-ramified and complexified pro-2-extension of any 2-rational number field.
Keywords
Cite
@article{arxiv.0805.1168,
title = {Note on 2-rational fields},
author = {Georges Gras and Jean-François Jaulent},
journal= {arXiv preprint arXiv:0805.1168},
year = {2021}
}
Comments
This Note is motivated by the paper ``Galois 2-extensions unramified outside 2'' of J. Jossey. We bring into focus some classical technics on abelian $\ell$-ramification which considerably simplify proofs in such subjects; for instance, the main Theorem 2, due to J-F. Jaulent, generalizes the purpose of Jossey's paper