scientific article

zbMath0584.12004MaRDI QIDQ3708870

Georges Gras

Publication date: 1985

Full work available at URL: http://www.numdam.org/item?id=CM_1985__55_3_383_0

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zbMATH Keywords

Kummer theoryexamplesArtin groupset of generatorsp-adic logarithm\({\mathbb{Z}}_ p\)-extensionsgenerators of the 2-class groupmaximal Kummerian subextensionp-power residue symbol

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Iwasawa theory (11R23) Cyclotomic extensions (11R18) Ramification and extension theory (11S15)

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On the cohomological dimension of pro-\(p\)-extensions of number fields ⋮ On the cyclotomic norms and the Leopoldt and Gross-Kuz'min conjectures ⋮ Torsion Galois modules and embeddings in \(\mathbb Z_p\)-extensions ⋮ La théorie de Kummer et le $K_2$ des corps de nombres ⋮ Pseudo-null Iwasawa modules for \(\mathbb Z_2^2\)-extensions ⋮ On universal norms and the first layers of \(\mathbb Z_p\)-extensions of a number field ⋮ Triviality of the 2-rank of the Hilbert kernel ⋮ Global \(\ell\)-adique clean field theory ⋮ Initial stage of a \(\mathbb{Z}_ \ell\)-extension

Cites Work

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• $\Gamma $-extensions et invariants cyclotomiques