On the indices of biquadratic number fields having Galois group \(V_ 4\)

DOI10.1007/BF01198960zbMath0724.11049OpenAlexW2061920364MaRDI QIDQ2277013

István Gaál, Michael E. Pohst, Attila Pethoe

Publication date: 1991

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01198960

zbMATH Keywords

field indexbiquadratic number fields

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16)

Related Items (8)

On index divisors and monogenity of certain septic number fields defined by x⁷ + ax³ + b ⋮ Elements with prime and small indices in bicyclic biquadratic number fields ⋮ Minimal index of bicyclic biquadratic number fields ⋮ On the index divisors and monogenity of number fields defined by x ⁵ + ax ³ + b ⋮ On index divisors and monogenity of certain number fields defined by \(x^{12}+ax^m+b\) ⋮ Two families of monogenic $S_4$ quartic number fields ⋮ Number fields with large minimal index containing quadratic subfields ⋮ Establishing the minimal index in a parametric family of bicyclic biquadratic fields

Cites Work

• On the indices and integral bases of non-cyclic but Abelian biquadratic fields
• On the Computation of Totally Real Quartic Fields of Small Discriminant
• Integers of Biquadratic Fields
• Unnamed Item

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