PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
March 5, 2012Journal of Algebra and Its Applications67 citations

NEWTON POLYGONS AND p-INTEGRAL BASES OF QUARTIC NUMBER FIELDS

View Full Paper
LFLhoussain El FadilJMJesús Sanz MontesENEnric Nart

Key Points

Key points are not available for this paper at this time.

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.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Fadil et al. (2012) studied this question.

synapsesocial.com/papers/6a15c2945347fbb173a03c2dhttps://doi.org/10.1142/s0219498812500739
Ask AI
Helpful
Bookmark
Share
View Full Paper