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

Published 22 May 2024 in math.NT | (2405.13429v2)

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

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