Ein Analogon zur Fundamentalgruppe einer Riemann'schen Fläche im Zahlkörperfall
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Publication:1057315
DOI10.1007/BF01388840zbMath0563.12008MaRDI QIDQ1057315
Publication date: 1984
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143162
Galois cohomologyIwasawa theoryfundamental groupmaximal unramified extensionDemushkin groupduality theorem of Poincaréduality theorem of Tate-Poitoupositively decomposed p-extension
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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Cites Work
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- Über Galoisgruppen lokaler Körper
- \(\ell\)-extensions of CM-fields and cyclotomic invariants
- Regulators and Iwasawa modules
- On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
- Théoremes de finitude en cohomologie galoisienne
- Séminaire de géométrie algébrique du Bois Marie 1960/61 (SGA 1), dirigé par Alexander Grothendieck. Augmenté de deux exposés de M. Raynaud. Revêtements étales et groupe fondamental. Exposés I à XIII. (Seminar on algebraic geometry at Bois Marie 1960/61 (SGA 1), directed by Alexander Grothendieck. Enlarged by two reports of M. Raynaud. Ètale coverings and fundamental group)
- Freie Produkte pro-endlicher Gruppen und ihre Kohomologie
- Galois cohomology in unramified extensions of algebraic function fields
- Einbettungsprobleme mit lokaler Vorgabe und freie Produkte lokaler Galoisgruppen.
- Cohomology of Group Extensions
