JP Journal of Algebra, Number Theory and Applications
Volume 29, Issue 1, Pages 31 - 43
(May 2013)
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RELATIVE POWER INTEGRAL BASES IN INFINITE FAMILIES OF QUARTIC EXTENSIONS OF QUADRATIC FIELDS
István Gaál and TÃmea Szabó
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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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