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Istvan Gaal
Power integral bases in a family of octic fields
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Published: |
March 31, 2025. |
Keywords: |
monogenity; power integral basis; octic fields; relative quartic fields; relative Thue equations. |
Subject [2010]: |
11Y50, 11R04, 11D25. |
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Abstract
Several recent results prove the monogenity of some polynomials.
In these cases the root of the polynomial generates a power integral basis in the
number field generated by the root. A straightforward question is whether
such a number field admits other generators of power integral bases?
We have investigated this problem in some previous papers and here we extend this research to
a family of octic polynomials, following a recent result of L. Jones [11].
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Acknowledgements
N/A
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Author information
Istvan Gaal
University of Debrecen
Mathematical Institute
H-4002 Debrecen Pf.400., Hungary
gaal.istvan@unideb.hu
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