Circular units in the \(\mathbb Z_p\)-extensions of real abelian fields of prime conductor

DOI10.2748/TMJ/1178224765zbMath0948.11039OpenAlexW2035734874MaRDI QIDQ1961353

Jae Moon Kim

Publication date: 20 November 2000

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224765

zbMATH Keywords

Galois cohomologycyclotomic unitsSinnott group

Mathematics Subject Classification ID

Iwasawa theory (11R23) Cyclotomic extensions (11R18) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (1)

ASYMPTOTIC COHOMOLOGY OF CIRCULAR UNITS

Cites Work

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• On the Stickelberger ideal and the circular units of an abelian field
• On relations between cyclotomic units
• On Cohomology Groups of Units for Z p -Extensions
• Class numbers of real quadratic fields
• Units and Cyclotomic Units in Z_p-Extensions

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