\(K_2\) and the Greenberg conjecture in multiple \(\mathbb Z_p\)-extensions

DOI10.5802/jtnb.513zbMath1091.11041OpenAlexW136267758WikidataQ122980672 ScholiaQ122980672MaRDI QIDQ819869

David Vauclair, Thong Nguyen Quang Do

Publication date: 30 March 2006

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2005__17_2_669_0

zbMATH Keywords

cohomologyIwasawa theory\(K\)-theorycapitulationclass groups

Mathematics Subject Classification ID

Iwasawa theory (11R23) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) (K)-theory of global fields (11R70)

Related Items (5)

Cup product, étale capitulation kernels and generalized Greenberg conjecture ⋮ Structure of fine Selmer groups in abelian \(p\)-adic Lie extensions ⋮ Tate kernels and capitulation ⋮ On duality and Iwasawa descent ⋮ On Greenberg's generalized conjecture

Cites Work

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• Cup product, étale capitulation kernels and generalized Greenberg conjecture
• Über gewisse Galoiscohomologiegruppen
• K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
• Regulators and Iwasawa modules
• Alexander ideals of links
• Relations between \(K_2\) and Galois cohomology
• A cup product in the Galois cohomology of number fields
• Greenberg conjectures and free pro-\(p\)-extensions of a number field
• On universal norms in \(\mathbb{Z}_ p\)-extensions
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Galois descent and \(K_ 2\) of number fields
• On \(K_2\) and some classical conjectures in algebraic number theory
• Greenberg's conjecture and units in multiple [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" / p -extensions]
• On the Iwasawa Invariants of Totally Real Number Fields
• On capitulation cokernels in Iwasawa theory
• On the wild kernel of number fields and the group of logarithmic classes

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