Discriminant and integral basis of sextic fields defined by x6+ax+b

DOI10.1080/00927872.2022.2061984zbMath1502.11107arXiv2011.14348OpenAlexW3109885980MaRDI QIDQ5089972

Sumandeep Kaur, Sudesh Kaur Khanduja

Publication date: 15 July 2022

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

Full work available at URL: https://arxiv.org/abs/2011.14348

zbMATH Keywords

Newton polygondiscriminantintegral basis\(p\)-integral basisOre's index theorem

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Algebraic numbers; rings of algebraic integers (11R04) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Valued fields (12J10)

Cites Work

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• Factorization over local fields and the irreducibility of generalized difference polynomials
• On the discriminant of pure number fields
• On the factors of a polynomial
• Number fields
• ON INTEGRAL BASIS OF PURE NUMBER FIELDS

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