Relative power integral bases in infinite families of quartic extensions of quadratic fields

zbMath1335.11094arXiv1810.00062MaRDI QIDQ2861999

István Gaál, Tímea Szabó

Publication date: 13 November 2013

Full work available at URL: https://arxiv.org/abs/1810.00062

zbMATH Keywords

power integral basismonogenityrelative extensions

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Cubic and quartic Diophantine equations (11D25) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (6)

CALCULATING RELATIVE POWER INTEGRAL BASES IN TOTALLY COMPLEX QUARTIC EXTENSIONS OF TOTALLY REAL FIELDS ⋮ Monogenic binomial compositions ⋮ The scheme of monogenic generators. I: Representability ⋮ Calculating power integral bases by using relative power integral bases ⋮ Monogenic cyclotomic compositions ⋮ The monogeneity of radical extensions

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