Newton polygons and p-integral bases

Details Newton polygons and p-integral bases Newton polygons and p-integral bases

2009-06-15

arxiv.org/abs/0906.2629v1

Mathematics

Number Theory

Scientific paper

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.

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