Non-monogenity in a family of octic fields

DOI10.1216/RMJ-2017-47-3-817zbMath1381.11102arXiv1809.10407OpenAlexW2637145070MaRDI QIDQ2362668

István Gaál, László Remete

Publication date: 11 July 2017

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.10407

zbMATH Keywords

power integral basisoctic fieldsrelative quartic extension

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (8)

On power integral bases of certain pure number fields defined by \(x^{42}-m\) ⋮ On monogenity of certain number fields defined by \(x^8+ax+b\) ⋮ On nonmonogenic number fields defined by trinomials of type \(x^n +ax^m+b\) ⋮ On common index divisor and monogenity of certain number fields defined by trinomials X⁶ + AX + B ⋮ Integral Bases and Monogenity of Composite Fields ⋮ The monogeneity of radical extensions ⋮ On power integral bases of certain pure number fields defined by \(x^{3^r} - m\) ⋮ On monogenity of certain number fields defined by trinomials

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