A note on the Demjanenko matrices related to the cyclotomic \({\mathbb{Z}}_p\)-extension

DOI10.3792/PJAA.76.99zbMath0965.11044OpenAlexW2013908812MaRDI QIDQ1594779

Hirofumi Tsumura

Publication date: 7 February 2001

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.76.99

zbMATH Keywords

relative class numbercyclotomic extensioncyclotomic \(\mathbb{Z}_p\)-extensiongeneralized Demyanenko matrices

Mathematics Subject Classification ID

Iwasawa theory (11R23) Other abelian and metabelian extensions (11R20)

Related Items (4)

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

Cites Work

• Demjanenko matrix, class number, and Hodge group
• A Demjanenko matrix for abelian fields of prime power conductor
• On Demjanenko's matrix and Maillet's determinant for imaginary abelian number fields
• The Relative Class Numbers of Imaginary Cyclic Fields of Degrees 4, 6, 8 and 10
• A generalization of Maillet and Demyanenko determinants
• Unnamed Item
• Unnamed Item

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