On tamely ramified Iwasawa modules for the cyclotomic \(\mathbb {Z}_{p}\)-extension of abelian fields

zbMath1300.11111arXiv1108.4266MaRDI QIDQ2251175

Tsuyoshi Itoh

Publication date: 11 July 2014

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

Full work available at URL: https://arxiv.org/abs/1108.4266

zbMATH Keywords

Galois groupabelian fields\(\mathbb {Z}_{p}\)-extensiontamely ramified Iwasawa modules

Mathematics Subject Classification ID

Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (3)

On pro-\(p\)-extensions of number fields with restricted ramification over intermediate \(\mathbb{Z}_p\)-extensions ⋮ Tamely ramified Iwasawa modules having no non-trivial pseudo-null submodules ⋮ On the structure of the Galois group of the maximal pro-\(p\) extension with restricted ramification over the cyclotomic \(\mathbb{Z}_p\)-extension

Cites Work

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• On a certain \(l\)-adic representation
• Class groups of abelian fields, and the main conjecture
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• Riemann-Hurwitz formula and p-adic Galois representations for number fields
• Semi-local units modulo cyclotomic units
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• On tame pro-\(p\) Galois groups over basic \(\mathbb Z_p\)-extensions
• ON THE ℤ_p-RANKS OF TAMELY RAMIFIED IWASAWA MODULES
• Onp-adicL-functions and cyclotomic fields. II
• On the Iwasawa 𝜆-invariants of real abelian fields
• On the units of algebraic number fields
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