scientific article; zbMATH DE number 7479735

zbMath1483.11241MaRDI QIDQ5036296

Tsuyoshi Itoh

Publication date: 23 February 2022

Full work available at URL: http://www.mathjournals.org/jrms/2021-036-003/2021-036-003-007.html

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zbMATH Keywords

Galois grouptamely ramified Iwasawa modules

Mathematics Subject Classification ID

Iwasawa theory (11R23) Other abelian and metabelian extensions (11R20)

Uses Software

• Magma
• LMFDB

Cites Work

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• A note on class numbers of algebraic number fields
• On the structure of the Galois group of the maximal pro-\(p\) extension with restricted ramification over the cyclotomic \(\mathbb{Z}_p\)-extension
• Riemann-Hurwitz formula and p-adic Galois representations for number fields
• Cyclotomic units in \(\mathbb{Z}_p\)-extensions
• On the cyclotomic unit group and the ideal class group of a real abelian number field
• The Magma algebra system. I: The user language
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Defining polynomial of the first layer of anti-cyclotomic \(\mathbb{Z}_3\)-extension of imaginary quadratic fields of class number 1
• On tamely ramified Iwasawa modules for \(\mathbb{Z}p\)-extensions of imaginary quadratic fields
• Prime decomposition in the anti-cyclotomic extension
• Remarks on the λ_p-invariants of cyclic fields of degree p
• Some remarks on pseudo-null submodules of tamely ramified Iwasawa modules

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