On the index (R:U) and the genus number of an abelian number field (Remarks to a paper of Sinnott)

DOI10.1007/BF01899659zbMath0489.12002OpenAlexW2317186771MaRDI QIDQ1166572

Makoto Ishida

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01899659

zbMATH Keywords

class numberGalois module structuregenus numberStickelberger idealcircular unitsabelian number field

Mathematics Subject Classification ID

Galois theory (11R32) Class field theory (11R37) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Cites Work

• On the Stickelberger ideal and the circular units of an abelian field
• The genus fields of algebraic number fields
• On the Stickelberger ideal and the circular units of a cyclotomic field
• Zur Geschlechtertheorie in abelschen Zahlkörpern

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