On cyclic biquadratic fields related to a problem of Hasse

DOI10.1007/BF01301930zbMath0482.12001MaRDI QIDQ1162550

Toru Nakahara

Publication date: 1982

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178088

zbMATH Keywords

cyclic biquadratic fieldspower basis of ring of algebraic integers

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Cyclotomic extensions (11R18) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (12)

Monogenic biquadratic fields ⋮ Power integral bases for certain pure sextic fields ⋮ An ideal theoretic proof on monogenity of cyclic sextic fields of prime power conductor ⋮ Monogenity of totally real algebraic extension fields over a cyclotomic field ⋮ Gaussian Periods and Units in Certain Cyclic Fields ⋮ On the minimum index of a cyclic quartic field ⋮ Monogenesis of the rings of integers in certain imaginary abelian fields ⋮ On certain octic biquartic fields related to a problem of Hasse ⋮ Hasse's problem for monogenic fields ⋮ The sextic period polynomial ⋮ On the indices and integral bases of non-cyclic but Abelian biquadratic fields ⋮ On the resolution of index form equations in biquadratic number fields. II

Cites Work

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• On root polynomials of cyclic cubic equations
• Extensions cubiques cycliques de \(\mathbb{Q}\) dont l'anneau des entiers est monogene
• On the ambiguous classes and monogenic orders of a cyclic extension of odd prime degree over \(\mathbb Q\) or an imaginary quadratic field.
• Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers.
• On the integral basis of the maximal real subfield of a cyclotomic field.
• A Note on Common Index Divisors

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