Ein Analogon zur Fundamentalgruppe einer Riemann'schen Fläche im Zahlkörperfall

DOI10.1007/BF01388840zbMath0563.12008MaRDI QIDQ1057315

Kay Wingberg

Publication date: 1984

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143162

zbMATH Keywords

Galois cohomologyIwasawa theoryfundamental groupmaximal unramified extensionDemushkin groupduality theorem of Poincaréduality theorem of Tate-Poitoupositively decomposed p-extension

Mathematics Subject Classification ID

Galois theory (11R32) Generators, relations, and presentations of groups (20F05) Coverings of curves, fundamental group (14H30) Zeta functions and (L)-functions of number fields (11R42) Ramification and extension theory (11S15) Galois cohomology (11R34)

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On Demuskin groups with involution ⋮ An arithmetic site for the rings of integers of algebraic number fields ⋮ Galois groups of number fields generated by torsion points of elliptic curves ⋮ A cohomological study of the 2-primary part of \(K_2{\mathcal O})\) ⋮ On the Fundamental Group of a Smooth Arithmetic Surface ⋮ Heidelberg Lectures on Fundamental Groups ⋮ \(\ell\)-Überlagerungen von \({\mathbb{P}}^1\setminus\{{\mathfrak p}_1,{\mathfrak p}_2,{\mathfrak p}_3\}\) ⋮ Finiteness conjectures for \({\mathbb F}_lT\)-analytic extensions of number fields

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