Principalization of ideals in abelian extensions of number fields
Number Theory
2021-08-06 v2
Abstract
We give the complete proof of a conjecture of Georges Gras which claims that, for any extension of number fields in which at least one infinite place is totally split, every ideal of principalizes in the compositum of with the maximal abelian extension of
Keywords
Cite
@article{arxiv.0803.4147,
title = {Principalization of ideals in abelian extensions of number fields},
author = {Sebastien Bosca and Georges Gras and Jean-François Jaulent},
journal= {arXiv preprint arXiv:0803.4147},
year = {2021}
}