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Dedekind’s Criterion and Monogenesis of Number Fields.
- Source :
-
AIP Conference Proceedings . 2019, Vol. 2074 Issue 1, p020014-1-020014-4. 4p. - Publication Year :
- 2019
-
Abstract
- Let L = ℚ(α) be a number field and ℤL its ring of integers, where α is a complex root of a monic irreducible polynomial F(X) ∈ ℤ[X]. In this paper, we give a new efficient version of Dedekind’s criterion, i.e., an efficient criterion to test either p divides or does not divide the index [ℤL: ℤ[α]]. As application, we study the integral closedness of ℤ[α] and the monogenity of a familly of octic number fields. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 2074
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 134852611
- Full Text :
- https://doi.org/10.1063/1.5090631