Newton polygons and p-integral bases
Number Theory
2009-06-16 v1
Abstract
Let p be a prime number. In this paper we use an old technique of Ore, based on Newton polygons, to construct in an efficient way p-integral bases of number fields defined by a p-regular equation. To illustrate the potential applications of this construction, we show how this result yields a computation of a p-integral basis of an arbitrary quartic field in terms of a defining equation.
Keywords
Cite
@article{arxiv.0906.2629,
title = {Newton polygons and p-integral bases},
author = {Lhoussain El fadil and Jesus Montes and Enric Nart},
journal= {arXiv preprint arXiv:0906.2629},
year = {2009}
}