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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 29, Issue 1, Pages 31 - 43 (May 2013)

RELATIVE POWER INTEGRAL BASES IN INFINITE FAMILIES OF QUARTIC EXTENSIONS OF QUADRATIC FIELDS

IstvÃ¡n GaÃ¡l and TÃmea SzabÃ³

Abstract:

Considering infinite parametric families of octic fields, that are quartic extensions of quadratic fields, we describe all relative power integral bases of the octic fields over the quadratic subfields.

Keywords and phrases:

power integral basis, monogenity, relative extensions.

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P-ISSN: 0972-5555

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