Power integral bases in a family of octic fields
Number Theory
2025-01-24 v1
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.
Cite
@article{arxiv.2501.13519,
title = {Power integral bases in a family of octic fields},
author = {István Gaál},
journal= {arXiv preprint arXiv:2501.13519},
year = {2025}
}