Some cases of the Fontaine-Mazur conjecture. II

DOI10.1006/jnth.1998.2337zbMath0928.11050arXivmath/9808145OpenAlexW4213029813WikidataQ122964914 ScholiaQ122964914MaRDI QIDQ1283142

Nigel Boston

Publication date: 15 September 1999

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

Full work available at URL: https://arxiv.org/abs/math/9808145

zbMATH Keywords

class numberFontaine-Mazur conjectureself-similar groupfixed-point-free automorphismuniform groupunramified Galois pro-\(p\)-extension

Mathematics Subject Classification ID

Galois theory (11R32) Galois theory (11S20) Ramification and extension theory (11S15)

Related Items

On the cohomological dimension of pro-\(p\)-extensions of number fields ⋮ A remark on Boston's question concerning the existence of unramified \(p\)-extensions. II ⋮ Galois groups of tamely ramified \(p\)-extensions ⋮ Dihedral universal deformations ⋮ Modularity lifting beyond the Taylor-Wiles method ⋮ The finitude of tamely ramified pro-\(p\) extensions of number fields with cyclic \(p\)-class groups ⋮ Analytic lie extensions of number fields with cyclic fixed points and tame ramification ⋮ Maximal 2-extensions with restricted ramification ⋮ Prime decomposition and the Iwasawa MU-invariant ⋮ Notes on an analogue of the Fontaine-Mazur conjecture ⋮ Explicit computation of Galois \(p\)-groups unramified at \(p\) ⋮ Unramified subextensions of ray class towers ⋮ Finiteness conjectures for \({\mathbb F}_lT\)-analytic extensions of number fields

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