On index divisors and monogenity of certain septic number fields defined by x7 + ax3 + b

DOI10.1080/00927872.2022.2159035OpenAlexW4313410303MaRDI QIDQ5887158

Omar Kchit, Lhoussain El Fadil

Publication date: 17 April 2023

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2022.2159035

zbMATH Keywords

Newton polygonpower integral basismonogenicprime ideal factorizationtheorem of Oreindex of a number fieldtheorem of Dedekind

Mathematics Subject Classification ID

Other number fields (11R21) Algebraic number theory computations (11Y40) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (2)

On index divisors and monogenity of certain number fields defined by \(x^{12}+ax^m+b\) ⋮ On index divisors and non-monogenity of certain quintic number fields defined by x⁵ + ax^m + bx + c

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the indices and integral bases of non-cyclic but Abelian biquadratic fields
• On a theorem of Ore
• On monogenity of certain number fields defined by trinomials
• On monogenity of certain number fields defined by \(x^8+ax+b\)
• On the indices of biquadratic number fields having Galois group \(V_ 4\)
• On non monogenity of certain number fields defined by trinomials \(x^6 + ax^3 + b\)
• Genetics of polynomials over local fields
• NEWTON POLYGONS AND p-INTEGRAL BASES OF QUARTIC NUMBER FIELDS
• On the Index of a Number Field
• Discriminants of number fields defined by trinomials
• Characterization of primes dividing the index of a trinomial
• The monogeneity of radical extensions
• On common index divisors and monogenity of certain number fields defined by x⁵ + ax² + b
• On nonmonogenic number fields defined by
• Diophantine Equations and Power Integral Bases
• Newton polygons of higher order in algebraic number theory
• Index, the prime ideal factorization in simplest quartic fields and counting their discriminants

This page was built for publication: On index divisors and monogenity of certain septic number fields defined by x⁷ + ax³ + b