Monogenesis of the rings of integers in certain imaginary abelian fields

DOI10.1017/S0027763000008369zbMath1036.11052OpenAlexW1631230097MaRDI QIDQ4431460

Toru Nakahara, Syed Inayat Ali Shah

Publication date: 22 October 2003

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nmj/1114631781

zbMATH Keywords

number fieldscyclotomic fieldsintegral basis

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (6)

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 ⋮ On certain octic biquartic fields related to a problem of Hasse ⋮ Hasse's problem for monogenic fields ⋮ The monogeneity of radical extensions ⋮ On a problem of Hasse for certain imaginary Abelian fields

Cites Work

• Existence d'une extension cyclique cubique monogene de discriminant donne
• On cyclic biquadratic fields related to a problem of Hasse
• Integral bases for quartic fields with quadratic subfields
• On the integral basis of the maximal real subfield of a cyclotomic field.
• Computing all power integral bases in orders of totally real cyclic sextic number fields
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