Notes on the structure of the ideal class groups of abelian number fields

DOI10.3792/pjaa.81.69zbMath1084.11060OpenAlexW2061202173MaRDI QIDQ815152

Miho Aoki

Publication date: 21 February 2006

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.81.69

zbMATH Keywords

class groupcyclotomic fieldscyclotomic unitsEuler systemsStickelberger elementshigher annihilators

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (2)

Local units and Gauss sums. ⋮ On the computation of class numbers of real abelian fields

Cites Work

• Class fields of abelian extensions of \(\mathbb Q\)
• On the ideal class groups of real abelian number fields
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