Units and Cyclotomic Units in Zp-Extensions

DOI10.1017/S0027763000005432zbMath0848.11055MaRDI QIDQ4882766

Jae Moon Kim

Publication date: 28 October 1996

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

cyclotomic unitsIwasawa invariantunit group\(p\)-class groupcyclotomic \(\mathbb{Z}_ p\)-extension\(p\)-divisibility of relative minus class numberscyclotomic CM-fields

Mathematics Subject Classification ID

Units and factorization (11R27) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (3)

Circular units in the \(\mathbb Z_p\)-extensions of real abelian fields of prime conductor ⋮ An application of the Fermat quotient of units to the method of Kim ⋮ ASYMPTOTIC COHOMOLOGY OF CIRCULAR UNITS

Cites Work

• Cohomology groups of cyclotomic units
• On the Stickelberger ideal and the circular units of a cyclotomic field
• Coates-Wiles series and Mirimanoff's polynomial
• On relations between cyclotomic units
• On Cohomology Groups of Units for Z p -Extensions

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