Relative integral bases for quartic fields over quadratic subfields
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Publication:1912687
DOI10.1007/BF02188204zbMath0853.11090OpenAlexW2073530815MaRDI QIDQ1912687
Blair K. Spearman, Kenneth S. Williams
Publication date: 9 January 1997
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02188204
Quadratic extensions (11R11) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29)
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Cites Work
- Unnamed Item
- Cyclic quartic fields and genus theory of their subfields
- On relative integral bases for cyclic quartic fields
- On relative integral bases for pure quartic fields
- Berechnung unabhängiger Einheiten und Klassenzahlen in total reellen biquadratischen Zahlkörpern
- Integral bases for bicyclic biquadratic fields over quadratic subfields
- Integral bases for quartic fields with quadratic subfields
- Cyclic Quartic Fields with Relative Integral Bases Over Their Quadratic Subfields
- A Number Field without Any Integral Basis
