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On the vanishing of Iwasawa invariants of certain \((p,p)\)-extensions of \(\mathbb{Q}\)

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Publication:1364457
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DOI10.3792/pjaa.73.45zbMath0879.11061OpenAlexW1978372718MaRDI QIDQ1364457

Gen Yamamoto

Publication date: 4 January 1998

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.73.45


zbMATH Keywords

Iwasawa invariantsIwasawa theoryideal class group\(\mathbb{Z}_ p\)-extension


Mathematics Subject Classification ID

Iwasawa theory (11R23)


Related Items

On the vanishing of Iwasawa invariants of certain cyclic extensions of \(\mathbb{Q}\) with prime degree ⋮ On the vanishing of Iwasawa invariants of certain cyclic extensions of \(\mathbb{Q}\) with prime degree. II



Cites Work

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  • A note on capitulation problem for number fields. I, II
  • The class group of an absolutely abelian \(\ell\)-extension
  • Riemann-Hurwitz formula and p-adic Galois representations for number fields
  • Remarks on \(\mathbb{Z}_ p\)-extensions of number fields
  • On Iwasawa \(\lambda_p\)-invariants of relative real cyclic extensions of degree \(p\)
  • ON THE IWASAWA INVARIANTS OF CERTAIN REAL ABELIAN FIELDS II
  • On the Iwasawa Invariants of Totally Real Number Fields
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