On prime divisors of the index of an algebraic integer

DOI10.1016/j.jnt.2016.02.021zbMath1414.11124OpenAlexW2325709284MaRDI QIDQ273434

Neeraj Sangwan, Anuj Jakhar, Sudesh Kaur Khanduja

Publication date: 22 April 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.02.021

zbMATH Keywords

rings of algebraic integersintegral basis and discriminant

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (12)

Non-monogenity of certain octic number fields defined by trinomials ⋮ Monogenic reciprocal trinomials and their Galois groups ⋮ Monogenic fields arising from trinomials ⋮ On integrally closed simple extensions of valuation rings ⋮ Characterization of primes dividing the index of a trinomial ⋮ On power basis of a class of number fields ⋮ Non-monogenity of some number fields generated by binomials or trinomials of prime-power degree ⋮ On primes dividing the index of a quadrinomial ⋮ Infinite families of non-monogenic trinomials ⋮ A note on Dedekind Criterion ⋮ Dedekind's criterion for the monogenicity of a number field versus Uchida's and Lüneburg's ⋮ Monogenic trinomials with non-squarefree discriminant

Cites Work

• Unnamed Item
• Generating a power basis over a Dedekind ring
• Factorization of polynomials over finite fields
• When is \(\mathbb{Z}[a\) the ring of the integers?]
• On power basis of a class of algebraic number fields
• On the irreducibility of certain trinomials
• A Generalization of Dedekind Criterion

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