Construction of \(\mathbb Z_p\) with prescribed Iwasawa \(\lambda\)-invariants

DOI10.1016/j.jnt.2005.09.004zbMath1145.11074OpenAlexW2028179178MaRDI QIDQ852534

Yoshihiro Ohgi, Satoshi Fujii, Manabu Ozaki

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2005.09.004

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)

Related Items (3)

No general Riemann-Hurwitz formula for relative \(p\)-class groups ⋮ IWASAWA TYPE FORMULA FOR COVERS OF A LINK IN A RATIONAL HOMOLOGY SPHERE ⋮ ON THE ℤ_p-RANKS OF TAMELY RAMIFIED IWASAWA MODULES

Cites Work

• Unnamed Item
• A note on class numbers of algebraic number fields
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• \(\ell\)-extensions of CM-fields and cyclotomic invariants
• On cyclotomic \(\mathbb{Z}_2\)-extensions of imaginary quadratic fields
• Construction of \(\mathbb Z_p\)-extensions with prescribed Iwasawa modules
• On Γ-extensions of algebraic number fields
• The Cyclotomic Z 2 -Extension of Imaginary Quadratic Fields

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