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arXiv · 2501.13519

Power integral bases in a family of octic fields

István Gaál
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Abstract

Several recent results prove the monogenity of some polynomials. In these cases the root of the polynomial generates a power integral basis in the number field generated by the root. A straightforward question is whether such a number field admits other generators of power integral bases? We have investigated this problem in some previous papers and here we extend this research to a family of octic polynomials, following a recent result of L. Jones.

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István Gaál. 2025-01-23. Power integral bases in a family of octic fields. https://arxiv.org/abs/2501.13519

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