scientific article

zbMath0543.12007MaRDI QIDQ3331297

Thong Nguyen Quang Do

Publication date: 1984

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

projective dimensionGalois cohomologyIwasawa theorycohomological dimensionEuler-Poincaré characteristicIwasawa moduleLeopoldt conjecture\({\mathbb{Z}}_ p\)-extensionsclass formation

Mathematics Subject Classification ID

Galois cohomology (11S25) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Class field theory (11R37) Iwasawa theory (11R23) Galois cohomology (11R34) Class field theory; (p)-adic formal groups (11S31)

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On the cohomological dimension of pro-\(p\)-extensions of number fields ⋮ Equivariant Main Conjecture, Fitting ideals and annihilators in Iwasawa theory ⋮ \(K_2\) and the Greenberg conjecture in multiple \(\mathbb Z_p\)-extensions ⋮ Codescent in étale \(K\)-theory and number fields ⋮ On the structure of Selmer groups over 𝑝-adic Lie extensions ⋮ Greenberg's conjecture and capitulation in \(\mathbb Z_p^d\)-extensions ⋮ The \(m\)-step solvable anabelian geometry of number fields ⋮ On the Iwasawa theory of CM fields for supersingular primes ⋮ Prime decomposition and the Iwasawa MU-invariant ⋮ On duality and Iwasawa descent ⋮ Some remarks on pseudo-null submodules of tamely ramified Iwasawa modules ⋮ The torsion of \(p\)-ramified Iwasawa modules for \(\mathbb Z^2_p\)-extensions ⋮ On pro-𝑝 link groups of number fields ⋮ On Greenberg's generalized conjecture ⋮ A note on free pro-\(p\)-extensions of algebraic number fields ⋮ Semilocal units modulo Gauss sums.

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