ON THE ℤp-RANKS OF TAMELY RAMIFIED IWASAWA MODULES

DOI10.1142/S1793042113500395zbMath1318.11141arXiv1103.3916MaRDI QIDQ2850704

Manabu Ozaki, Yasushi Mizusawa, Tsuyoshi Itoh

Publication date: 30 September 2013

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.3916

zbMATH Keywords

Iwasawa moduletame ramification\(\mathbb Z_{p}\)-extension

Mathematics Subject Classification ID

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

Related Items (10)

A consequence of Greenberg's generalized conjecture on Iwasawa invariants of \(\mathbb{Z}_p\)-extensions ⋮ On 2-adic Lie iterated extensions of number fields arising from a Joukowski map ⋮ On pro-\(p\)-extensions of number fields with restricted ramification over intermediate \(\mathbb{Z}_p\)-extensions ⋮ On tamely ramified pro-p-extensions over -extensions of ⋮ On tamely ramified Iwasawa modules for the cyclotomic \(\mathbb {Z}_{p}\)-extension of abelian fields ⋮ Some remarks on pseudo-null submodules of tamely ramified Iwasawa modules ⋮ 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 ⋮ On tamely ramified Iwasawa modules for \(\mathbb{Z}p\)-extensions of imaginary quadratic fields ⋮ Tame pro-2 Galois groups and the basic ℤ₂-extension

Cites Work

• Construction of \(\mathbb Z_p\) with prescribed Iwasawa \(\lambda\)-invariants
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• \(\ell\)-extensions of CM-fields and cyclotomic invariants
• On the Stickelberger ideal and the circular units of an abelian field
• Riemann-Hurwitz formula and p-adic Galois representations for number fields
• Cyclotomic Z//2-extensions of J-fields
• On cyclotomic \(\mathbb{Z}_2\)-extensions of imaginary quadratic fields
• ON THE IWASAWA INVARIANTS OF CERTAIN REAL ABELIAN FIELDS II
• On Γ-extensions of algebraic number fields
• The Cyclotomic Z 2 -Extension of Imaginary Quadratic Fields
• On the Iwasawa Invariants of Totally Real Number Fields
• On the units of algebraic number fields
• On Greenberg's conjecture on a certain real quadratic field

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