Some cases of the Fontaine-Mazur conjecture

DOI10.1016/0022-314X(92)90093-5zbMath0768.11044WikidataQ123013800 ScholiaQ123013800MaRDI QIDQ1201731

Nigel Boston

Publication date: 17 January 1993

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

zbMATH Keywords

absolute Galois groupFontaine-Mazur conjecture\(p\)-adic representation\(p\)-saturated Galois group with integer valuesnonexistence of an infinite everywhere unramified Galois pro-\(p\)-extension

Mathematics Subject Classification ID

Galois theory (11R32)

Related Items (12)

On the cohomological dimension of pro-\(p\)-extensions of number fields ⋮ SELMER GROUPS AND GENERALIZED CLASS FIELD TOWERS ⋮ The growth of fine Selmer groups ⋮ On the growth of \(p\)-class groups in \(p\)-class field towers ⋮ A remark on Boston's question concerning the existence of unramified \(p\)-extensions. II ⋮ The finitude of tamely ramified pro-\(p\) extensions of number fields with cyclic \(p\)-class groups ⋮ On the Fontaine-Mazur conjecture for number fields and an analogue for function fields ⋮ Analytic lie extensions of number fields with cyclic fixed points and tame ramification ⋮ Growth of Fine Selmer Groups in Infinite Towers ⋮ Prime decomposition and the Iwasawa MU-invariant ⋮ Some cases of the Fontaine-Mazur conjecture. II ⋮ Unramified subextensions of ray class towers

Cites Work

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• Explicit deformation of Galois representations
• Non-Abelian free pro-\(p\)-groups cannot be represented by 2-by-2 matrices
• \(p\)-adic analytic groups
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
• Finite Groups Admitting a Fixed-Point-Free Automorphism of Order 4
• On a Class of Finitely Presented Groups
• Class Groups of Quadratic Fields
• A Property of Finite p-Groups with Trivial Multiplicator
• ON A SERIES OF FINITE CLOSED $ p$-GROUPS
• On Automorphisms of Free Pro-p-Groups I
• Groups with trivial Schur multiplicator
• On class field towers
• Extensions with given points of ramification

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