Bounds for étale capitulation kernels

DOI10.1007/s10977-004-7337-8zbMath1163.11347OpenAlexW2024956306MaRDI QIDQ1780007

Jilali Assim, Abbas Movahhedi

Publication date: 6 June 2005

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10977-004-7337-8

Mathematics Subject Classification ID

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

Related Items (10)

Norm index formula for the Tate kernels and applications ⋮ A genus formula for the wild étale kernel ⋮ The extended Bloch groups of biquadratic and dihedral number fields ⋮ Cup product, étale capitulation kernels and generalized Greenberg conjecture ⋮ On the cyclotomic norms and the Leopoldt and Gross-Kuz'min conjectures ⋮ Tate kernels and capitulation ⋮ On universal norms and the first layers of \(\mathbb Z_p\)-extensions of a number field ⋮ Bounds for étale capitulation kernels. II ⋮ ON IWASAWA THEORY OF RUBIN–STARK UNITS AND NARROW CLASS GROUPS ⋮ Capitulation for even \(K\)-groups in the cyclotomic \(\mathbb Z_p\)-extension

Cites Work

• Unnamed Item
• On regular number fields
• Remarks on \(K_ 2\) of number fields
• Über gewisse Galoiscohomologiegruppen
• K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
• Relations between \(K_2\) and Galois cohomology
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Codescent in étale \(K\)-theory and number fields
• An idelic approach to the wild kernel
• On \(K_2\) and some classical conjectures in algebraic number theory
• Sur les p -extensions des corps p -rationnels
• On the Iwasawa Invariants of Totally Real Number Fields
• A Note on K 2 and the Theory of ℤ p -Extensions

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