On index divisors and non-monogenity of certain quintic number fields defined by x5 + axm + bx + c

DOI10.1080/00927872.2023.2179633OpenAlexW4321480332MaRDI QIDQ6157677

Omar Kchit

Publication date: 22 June 2023

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

Full work available at URL: https://doi.org/10.1080/00927872.2023.2179633

zbMATH Keywords

Newton polygonpower integral basisquadrinomialmonogenicquintic fieldsprime ideal factorizationtheorem of Oreindex of a number fieldtheorem of Dedekind

Mathematics Subject Classification ID

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

Cites Work

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• On index divisors and monogenity of certain septic number fields defined by x⁷ + ax³ + b
• A note on non-monogenity of number fields arised from sextic trinomials

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