Class number parity of a quadratic twist of a cyclotomic field of prime power conductor

zbMath1325.11110MaRDI QIDQ2393588

Humio Ichimura

Publication date: 8 August 2013

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1371833500

Mathematics Subject Classification ID

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

Related Items (4)

Biographical Sketch of Professor Humio Ichimura ⋮ Normal integral basis of an unramified quadratic extension over a cyclotomic \(\mathbb{Z}_2\)-extension ⋮ Triviality of Iwasawa module associated to some abelian fields of prime conductors ⋮ Note on class number parity of an abelian field of prime conductor, III

Cites Work

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• On the parity of the class number of an imaginary abelian field of conductor \(2^{a} p^{b}\)
• On the 2-part of the class numbers of cyclotomic fields of prime power conductors
• The non-p-part of the class number in a cyclotomic \(\mathbb{Z}_p\)-extension
• Semi-local units modulo cyclotomic units
• Minus class groups of the fields of the 𝑙-th roots of unity

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