scientific article; zbMATH DE number 6542551

zbMath1408.11109MaRDI QIDQ5744627

Humio Ichimura

Publication date: 18 February 2016

Full work available at URL: http://www.math.okayama-u.ac.jp/mjou/mjou58/_05_ichimura.pdf

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zbMATH Keywords

cyclotomic unitsideal class groupreflection argument

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (7)

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 the Class Number of the pth Cyclotomic Field, II ⋮ Note on the class number of the \(p\)th cyclotomic field. III. ⋮ Note on class number parity of an abelian field of prime conductor ⋮ On unit signatures and narrow class groups of odd degree abelian number fields

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