Newton polygons and p-integral bases of quartic number fields

Lhoussain El Fadil, Jesús Montes, Enric Nart

Research output: Contribution to journalArticleResearchpeer-review

9 Citations (Scopus)

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 languageEnglish
Article number1250073
JournalJournal of Algebra and Its Applications
Volume11
Issue number4
DOIs
Publication statusPublished - 1 Aug 2012

Keywords

  • Newton polygon
  • p-integral basis
  • quartic field

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