On the \(\mathbb Z_l\)-rank of Abelian extensions with restricted ramification

DOI10.1006/jnth.2001.2712zbMath1026.11084OpenAlexW1984570699MaRDI QIDQ5960994

Christian Maire

Publication date: 22 April 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.2001.2712

zbMATH Keywords

\(\mathbb{Z}_\ell\)-rank\(S\)-ramificationSchanuel \(\ell\)-adic conjecture

Mathematics Subject Classification ID

Class field theory (11R37) Iwasawa theory (11R23)

Related Items

On the cohomological dimension of pro-\(p\)-extensions of number fields, On Greenberg's generalized conjecture for CM-fields, On multiple \(\mathbb Z_p\)-extensions of imaginary abelian quartic fields, The finitude of tamely ramified pro-\(p\) extensions of number fields with cyclic \(p\)-class groups, On Greenberg’s generalized conjecture for complex cubic fields, Iwasawa theory for extensions with restricted \(p\)-ramification, Automorphy lifting for residually reducible -adic Galois representations, II, Symmetric power functoriality for holomorphic modular forms, Automorphy lifting for residually reducible 𝑙-adic Galois representations, Unramified subextensions of ray class towers

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