Cyclotomic units in \(\mathbb{Z}_p\)-extensions

DOI10.1007/BF02776022zbMath0765.11042OpenAlexW2066502793MaRDI QIDQ1196307

In-Sok Lee, Sunghan Bae, Jae Moon Kim

Publication date: 16 December 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02776022

zbMATH Keywords

direct limitcyclotomic unitsinverse limitsIwasawa invariantideal class groupfactor group\(p\)-part

Mathematics Subject Classification ID

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

Related Items (4)

On the group of modular units and the ideal class group ⋮ Unnamed Item ⋮ Remark on elliptic units in a $\mathbb {Z}_p$-extension of an imaginary quadratic field ⋮ On universal norms in \(\mathbb{Z}_ p\)-extensions

Cites Work

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• Cohomology groups of cyclotomic units
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Sur la capitulation dans une Zl-extension.

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