On the parity of the class number of an imaginary abelian field of conductor \(2^{a} p^{b}\)

DOI10.1007/s00013-011-0260-3zbMath1225.11135OpenAlexW2086586343MaRDI QIDQ719673

Humio Ichimura

Publication date: 11 October 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0260-3

zbMATH Keywords

class numberparitycyclotomic extension

Mathematics Subject Classification ID

Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items

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 \(3p^{n+1}\) ⋮ ON THE 2-ADIC IWASAWA LAMBDA INVARIANTS OF THE p-CYCLOTOMIC FIELDS AND THEIR QUADRATIC TWISTS

Cites Work

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• Unités cyclotomiques, unités semilocales et \(\mathbb{Z}_\ell\)-extensions. II
• Fitting ideals of class groups of real fields with prime power conductor
• On formulae for the class number of real Abelian fields
• A Note on Ideal Class Groups