Open Access
June 2016 Calculating power integral bases by using relative power integral bases
István Gaál, László Remete, Tímea Szabó
Funct. Approx. Comment. Math. 54(2): 141-149 (June 2016). DOI: 10.7169/facm/2016.54.2.1


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.


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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.


Published: June 2016
First available in Project Euclid: 20 June 2016

zbMATH: 06862339
MathSciNet: MR3513574
Digital Object Identifier: 10.7169/facm/2016.54.2.1

Primary: 11R04
Secondary: 11Y50

Keywords: octic fields , power integral basis , relative power integral basis , relative quartic extension

Rights: Copyright © 2016 Adam Mickiewicz University

Vol.54 • No. 2 • June 2016
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