Construction of \(\mathbb Z_p\)-extensions with prescribed Iwasawa modules

DOI10.2969/jmsj/1191334086zbMath1142.11368OpenAlexW2041880982MaRDI QIDQ1885103

Manabu Ozaki

Publication date: 28 October 2004

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/1191334086

zbMATH Keywords

Iwasawa invariantcapitulation of ideals

Mathematics Subject Classification ID

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

Related Items (7)

Construction of \(\mathbb Z_p\) with prescribed Iwasawa \(\lambda\)-invariants ⋮ Growth of Fine Selmer Groups in Infinite Towers ⋮ IWASAWA TYPE FORMULA FOR COVERS OF A LINK IN A RATIONAL HOMOLOGY SPHERE ⋮ On pseudo-null Iwasawa modules ⋮ On tamely ramified Iwasawa modules for \(\mathbb{Z}p\)-extensions of imaginary quadratic fields ⋮ Non-abelian Iwasawa theory of ℤp-extensions ⋮ On families of imaginary abelian fields with pseudo-null unramified Iwasawa modules

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