Demjanenko matrix for imaginary abelian fields of odd conductors

DOI10.3792/pjaa.70.292zbMath0829.11055OpenAlexW2030497985MaRDI QIDQ1805027

Kazuhiro Dohmae

Publication date: 22 January 1996

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.70.292

zbMATH Keywords

class numberDemyanenko matriximaginary abelian field of odd conductor

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (4)

The relative class number of certain imaginary abelian number fields of odd conductors ⋮ A generalization of the Maillet determinant and the Demyanenko matrix ⋮ On a generalization of the Demjanenko determinant ⋮ Formulae for the relative class number of an imaginary abelian field in the form of a determinant

Cites Work

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• On the Stickelberger ideal and the circular units of a cyclotomic field
• Demjanenko matrix and 2-divisibility of class numbers
• A Demjanenko matrix for abelian fields of prime power conductor

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