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arXiv · 2405.13429

Calculating power integral bases in some quartic fields corresponding to monogenic families of polynomials

István Gaál
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Abstract

J. Harrington and L. Jones characterized monogenity of four new parametric families of quartic polynomials with various Galois groups. A short time later P. Voutier added a cyclic family. In this note we intend to describe all generators of power integral bases in the number fields generated by a root of the monogenic polynomials.

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István Gaál. 2024-05-22. Calculating power integral bases in some quartic fields corresponding to monogenic families of polynomials. https://arxiv.org/abs/2405.13429

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