scientific article; zbMATH DE number 202997

zbMath0778.11066MaRDI QIDQ4694931

Grzegorz Banaszak

Publication date: 6 January 1994

Full work available at URL: http://www.numdam.org/item?id=CM_1993__86_3_281_0

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zbMATH Keywords

wild kernelStickelberger idealhigher \(K\)-groupsgroup of infinitely divisible elementshigher analogue of Moore's exact sequence

Mathematics Subject Classification ID

(K)-theory of global fields (11R70) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Higher algebraic (K)-theory (19D99)

Related Items (21)

Analogues supérieurs du noyau sauvage ⋮ Les nombres de Tamagawa locaux et la conjecture de Bloch et Kato pour les motifs sur un corps abélien ⋮ Codescent in étale \(K\)-theory and number fields ⋮ Continuous \(K\)-theory ⋮ Divisible homology classes in the special linear group of a number field ⋮ On \(p\)-adic \(L\)-series, \(p\)-adic cohomology and class field theory ⋮ Splitting in the \(K\)-theory localization sequence of number fields ⋮ The Stickelberger splitting map and Euler systems in the \(K\)-theory of number fields ⋮ Higher analogues of Stickelberger's theorem. ⋮ Hecke characters and the $K$-theory of totally real and CM fields ⋮ Galois co-descent for étale wild kernels and capitulation ⋮ The 2-Sylow subgroup of the wild kernel of exceptional number fields ⋮ Higher wild kernels and divisibility in the \(K\)-theory of number fields ⋮ Annihilating wild kernels ⋮ Étale wild kernels of exceptional number fields ⋮ Logarithmic approach of the étale wild kernels of number fields. ⋮ Wild kernels and divisibility in \(K\)-groups of global fields ⋮ Base change for higher Stickelberger ideals ⋮ Capitulation for even \(K\)-groups in the cyclotomic \(\mathbb Z_p\)-extension ⋮ On the splitting of the exact sequence, relating the wild and tame kernels ⋮ Annulateurs de Stickelberger des groupes de classes logarithmiques

Cites Work

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• Continuous étale cohomology
• Über gewisse Galoiscohomologiegruppen
• K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
• Algebraic \(K\)-theory of number fields and rings of integers and the Stickelberger ideal
• Relations between \(K_2\) and Galois cohomology
• On l-adic zeta functions
• An analogue of Stickelberger's theorem for the higher K-groups
• On the cohomology and K-theory of the general linear groups over a finite field
• On the values of zeta and L-functions. I
• Algebraic and Etale K-Theory
• On higher p-adic regulators
• Higher algebraic K-theory: I
• Introduction to Algebraic K-Theory. (AM-72)

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