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arXiv · 1809.10405

Calculating power integral bases by using relative power integral bases

István Gaál·László Remete·Tí mea Szabó
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Abstract

Let $M\subset K$ be number fields. We consider the relation of relative power integral bases of $K$ over $M$ with absolute power integral bases of $K$ over $Q$. We show how generators of absolute power integral bases can be calculated from generators of relative ones. We apply our ideas in infinite families of octic fields with quadratic subfields.

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István Gaál, László Remete, Tí mea Szabó. 2018-09-27. Calculating power integral bases by using relative power integral bases. https://doi.org/10.7169/facm%2F2016.54.2.1

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