On index divisors and monogenity of certain sextic number fields defined by \(x^6 +ax^5 +b\)
From MaRDI portal
Publication:6672010
DOI10.1007/S10013-023-00679-3MaRDI QIDQ6672010
Omar Kchit, Lhoussain El Fadil
Publication date: 27 January 2025
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Newton polygonpower integral basismonogenicprime ideal factorizationtheorem of Oreindex of a number fieldtheorem of Dedekind
Other number fields (11R21) Algebraic number theory computations (11Y40) Algebraic numbers; rings of algebraic integers (11R04)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- On the indices and integral bases of non-cyclic but Abelian biquadratic fields
- On a theorem of Ore
- Newtonsche Polygone in der Theorie der algebraischen Körper.
- Zur Theorie der außerwesentlichen Diskriminantenteiler algebraischer Körper.
- Arithmetische Untersuchungen über die gemeinsamen ausserwesentlichen Discriminantenteiler einer Gattung.
- On the common index divisors of an algebraic field.
- Monogenic fields arising from trinomials
- On the indices of biquadratic number fields having Galois group \(V_ 4\)
- On non monogenity of certain number fields defined by trinomials \(x^6 + ax^3 + b\)
- NEWTON POLYGONS AND p-INTEGRAL BASES OF QUARTIC NUMBER FIELDS
- The index of a quartic field defined by a trinomial X4 + aX + b
- AN EXPERIMENT ON THE MONOGENITY OF A FAMILY OF TRINOMIALS
- On common index divisors and monogenity of certain number fields defined by x5 + ax2 + b
- Newton polygons of higher order in algebraic number theory
- Valued Fields
- On index divisors and monogenity of certain septic number fields defined by x7 + ax3 + b
- On index and monogenity of certain number fields defined by trinomials
This page was built for publication: On index divisors and monogenity of certain sextic number fields defined by \(x^6 +ax^5 +b\)
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6672010)
