\(K_ 3\) and \(p\)- adic Riemann-Hurwitz formulas

DOI10.1007/BF00961536zbMath0801.11049MaRDI QIDQ1317440

Thong Nguyen Quang Do

Publication date: 17 April 1994

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

zbMATH Keywords

capitulation\(\lambda\)-invariantK-groups\(p\)-adic Riemann-Hurwitz formulasformula of Riemann-Hurwitz type

Mathematics Subject Classification ID

(K)-theory of local fields (11S70) Higher algebraic (K)-theory (19D99)

Related Items

Codescent in étale \(K\)-theory and number fields ⋮ Cup product, étale capitulation kernels and generalized Greenberg conjecture ⋮ The prime-to-adjoint principle and unobstructed Galois deformations in the Borel case ⋮ Galois co-descent for étale wild kernels and capitulation ⋮ On λ-invariants of number fields and étale cohomology ⋮ On Galois groups of unramified pro-\(p\) extensions ⋮ Logarithmic approach of the étale wild kernels of number fields. ⋮ Twisted \(S\)-units, \(p\)-adic class number formulas, and the Lichtenbaum conjectures ⋮ Massey products and ideal class groups

Cites Work

• Unnamed Item
• Unnamed Item
• Examples of extensions with Demushkin group
• On regular number fields
• On \(\mathbb{Z}_ p\)-torsion of some Galois modules
• Über gewisse Galoiscohomologiegruppen
• \(\ell\)-extensions of CM-fields and cyclotomic invariants
• Riemann-Hurwitz formula and p-adic Galois representations for number fields
• On torsion in \(K_ 2\) of fields
• \(K_ 2\) of rings of algebraic integers
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• On \(K_2\) and some classical conjectures in algebraic number theory
• SOME DUALITY THEOREMS FOR CYCLOTOMIC $ \Gamma$-EXTENSIONS OF ALGEBRAIC NUMBER FIELDS OF $ CM$ TYPE
• On the Iwasawa Invariants of Totally Real Number Fields
• On the maximal unramified p-extension of an algebraic number field.
• AN ANALOG OF THE RIEMANN-HURWITZ FORMULA FOR ONE TYPE OF $ l$-EXTENSION OF ALGEBRAIC NUMBER FIELDS