Periodicity in $K$-groups of certain fields

Paul Arne Østvær

Displaying similar documents to “Periodicity in $K$ -groups of certain fields”

Cohomological approaches to $S K_{1}$ and $S K_{2}$ of central simple algebras.

Kahn, Bruno (2010)

Documenta Mathematica

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Salvetti complex, spectral sequences and cohomology of Artin groups

Filippo Callegaro (2014)

Annales de la faculté des sciences de Toulouse Mathématiques

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The aim of this short survey is to give a quick introduction to the Salvetti complex as a tool for the study of the cohomology of Artin groups. In particular we show how a spectral sequence induced by a filtration on the complex provides a very natural and useful method to study recursively the cohomology of Artin groups, simplifying many computations. In the last section some examples of applications are presented.

Weil-Châtelet groups over local fields

J. S. Milne (1970)

Annales scientifiques de l'École Normale Supérieure

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Cohomology groups of the class groups over a ℤₚ extension

Soogil Seo (2005)

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Some remarks on conjectures about cyclotomic fields and $K$ -groups of $𝐙$

Masato Kurihara (1992)

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Motivic cohomology with $𝐙 / 2$ -coefficients

Vladimir Voevodsky (2003)

Publications Mathématiques de l'IHÉS

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Cohomology sets inside arithmetic groups

Stefan Kühnlein (2003)

Acta Arithmetica

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Effective lifting of 2-cocycles for Galois cohomology

Thomas Preu (2013)

Open Mathematics

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We give explicit formulas for reducing the problem of determining whether a given 2-cocycle is a coboundary and if so finding a lifting 1-cochain to a system of norm equations.

Erratum to "Cohomology sets inside arithmetic groups" (Acta Arith. 107 (2003), 27-33)

Stefan Kühnlein (2003)

Acta Arithmetica

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On non-commutative twisting in étale and motivic cohomology

Jens Hornbostel, Guido Kings (2006)

Annales de l’institut Fourier

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This article confirms a consequence of the non-abelian Iwasawa main conjecture. It is proved that under a technical condition the étale cohomology groups $H^{1} (𝒪_{K} [1 / S], H^{i} (\bar{X}, ℚ_{p} (j)))$ , where $X \to Spec 𝒪_{K} [1 / S]$ is a smooth, projective scheme, are generated by twists of norm compatible units in a tower of number fields associated to $H^{i} (\bar{X}, ℤ_{p} (j))$ . Using the “Bloch-Kato-conjecture” a similar result is proven for motivic cohomology with finite coefficients.

The rank of étale cohomology of varieties over $p$ -adic or number fields

C. Soulé (1984)

Compositio Mathematica

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Displaying similar documents to “Periodicity in K -groups of certain fields”

Displaying similar documents to “Periodicity in $K$ -groups of certain fields”