On the 2-part of the class numbers of cyclotomic fields of prime power conductors

DOI10.2969/jmsj/06410317zbMath1247.11136OpenAlexW2081168384MaRDI QIDQ763990

Shoichi Nakajima, Humio Ichimura

Publication date: 3 April 2012

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06410317

zbMATH Keywords

class groupscyclotomic fieldscyclotomic extension

Mathematics Subject Classification ID

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

Related Items (9)

Biographical Sketch of Professor Humio Ichimura ⋮ Class number parity of a quadratic twist of a cyclotomic field of prime power conductor ⋮ On the Iwasawa lambda invariant of an imaginary abelian field of conductor \(3p^{n+1}\) ⋮ A note on the relative class number of the cyclotomic \(\mathbb Z_p\)-extension of \(\mathbb Q(\sqrt{-p})\). II ⋮ Note on the class number of the \(p\)th cyclotomic field ⋮ ON THE 2-ADIC IWASAWA LAMBDA INVARIANTS OF THE p-CYCLOTOMIC FIELDS AND THEIR QUADRATIC TWISTS ⋮ Height and Weber's class number problem ⋮ On the parity of the class number of an imaginary abelian field of conductor \(2^{a} p^{b}\) ⋮ On the Class Numbers in the Cyclotomic Z29- and Z31-Extensions of the Field of Rationals

Cites Work

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• A Note on Ideal Class Groups

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