Local-to-global computation of integral bases without a previous factorization of the discriminant
Number Theory
2015-10-08 v1
Abstract
We adapt an old local-to-global technique of Ore to compute, under certain mild assumptions, an integral basis of a number field without a previous factorization of the discriminant of the defining polynomial. In a first phase, the method yields as a by-product successive splittings of the discriminant. When this phase concludes, it requires a squarefree factorization of some base factors of the discriminant to terminate.
Keywords
Cite
@article{arxiv.1510.01995,
title = {Local-to-global computation of integral bases without a previous factorization of the discriminant},
author = {Jordi Guàrdia and Enric Nart},
journal= {arXiv preprint arXiv:1510.01995},
year = {2015}
}