On the minimum index of a cyclic quartic field

DOI10.1007/BF01195105zbMath0627.12003OpenAlexW2081508412MaRDI QIDQ581453

Toru Nakahara

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01195105

zbMATH Keywords

cyclic quartic fieldminimum index

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16)

Related Items (5)

Monogenic biquadratic fields ⋮ Minimal indices of pure cubic fields ⋮ Chatelain's integer bases for biquadratic fields ⋮ Number fields with large minimal index containing quadratic subfields ⋮ Hasse's problem for monogenic fields

Cites Work

• On the indices and integral bases of non-cyclic but Abelian biquadratic fields
• On cyclic biquadratic fields related to a problem of Hasse
• On discriminants and indices of integers of an algebraic number field.
• Indices in cubic fields
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