Abstract
Let p be a prime number. In this paper we use an old technique of Ø. Ore, based on Newton polygons, to construct in an efficient way p-integral bases of number fields defined by p-regular equations. To illustrate the potential applications of this construction, we derive from this result an explicit description of a p-integral basis of an arbitrary quartic field in terms of a defining equation. © 2012 World Scientific Publishing Company.
Original language | English |
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Article number | 1250073 |
Journal | Journal of Algebra and its Applications |
Volume | 11 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Aug 2012 |
Keywords
- Newton polygon
- p-integral basis
- quartic field