A generalization of Maillet and Demyanenko determinants for the cyclotomic \(\mathbb Z_p\)-extension

DOI10.1007/BF02941457zbMath1030.11059MaRDI QIDQ5956159

Mikihito Hirabayashi

Publication date: 19 February 2004

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

relative class numbercyclotomic \(\mathbb Z_p\)-extensionDemyanenko determinantMaillet determinant

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items

Unnamed Item ⋮ Maillet determinants for real abelian number fields and its applications ⋮ Class number formulae in the form of a product of determinants in function fields

Cites Work

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• Remarks on unit indices of imaginary abelian number fields
• Cyclotomic Z//2-extensions of J-fields
• Class number factors and distribution of residues
• A note on the Demjanenko matrices related to the cyclotomic \({\mathbb{Z}}_p\)-extension
• On Demjanenko's matrix and Maillet's determinant for imaginary abelian number fields
• Formulae for the relative class number of an imaginary abelian field in the form of a determinant
• A generalization of Maillet and Demyanenko determinants