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 $\mathbb{Q}$. 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.
Citation
István Gaál. László Remete. Tímea Szabó. "Calculating power integral bases by using relative power integral bases." Funct. Approx. Comment. Math. 54 (2) 141 - 149, June 2016. https://doi.org/10.7169/facm/2016.54.2.1
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