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Publication:3748371
zbMath0608.12012MaRDI QIDQ3748371
Publication date: 1985
Full work available at URL: http://www.numdam.org/item?id=CM_1985__55_3_333_0
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duality theoremsCM-fieldFrobenius automorphismtotally real number fieldIwasawa modulesRiemann-Hurwitz formulalocal factorscyclotomic \({bbfZ}_ p\)-extensionp-adic zeta-function\(\Gamma \)-extensions\(\Gamma \)-invariant pairingsfunctional equation for characteristic polynomialIwasawa main-conjecture
Class field theory (11R37) Cyclotomic extensions (11R18) Zeta functions and (L)-functions (11S40) Galois cohomology (11R34)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Induced representations and projective modules
- Über Galoisgruppen lokaler Körper
- Über gewisse Galoiscohomologiegruppen
- \(\ell\)-extensions of CM-fields and cyclotomic invariants
- Riemann-Hurwitz formula and p-adic Galois representations for number fields
- On the structure of certain Galois groups
- On l-adic zeta functions
- On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
- Cohomologie galoisienne. Cours au Collège de France, 1962--1963. 3ième éd.
- Cohomological topics in group theory.
- On modules of trivial cohomology over a finite group. I
- 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
- Freie Produktzerlegungen von Galoisgruppen und Iwasawa-Invarianten für p-Erweiterungen von
- On the Iwasawa Invariants of Totally Real Number Fields
- Die p-Vervollständigung der multiplikativen Gruppe einer p-Erweiterung eines irregulären p-adischen Zahlkörpers.
- THE GALOIS GROUP OF THE ALGEBRAIC CLOSURE OF A LOCAL FIELD
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