A Note on K 2 and the Theory of ℤ p -Extensions

DOI10.2307/2373971zbMath0408.12012OpenAlexW2322501767MaRDI QIDQ4195046

Ralph Greenberg

Publication date: 1978

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2373971

zbMATH Keywords

K-TheoryLeopoldt's ConjectureZp-Extensions

Mathematics Subject Classification ID

Galois theory (11R32) (K)-theory of global fields (11R70)

Related Items (22)

Norm index formula for the Tate kernels and applications ⋮ Galois descent and \(K_ 2\) of number fields ⋮ A genus formula for the wild étale kernel ⋮ Algebraic number fields ⋮ Cup product, étale capitulation kernels and generalized Greenberg conjecture ⋮ 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 ⋮ Iwasawa invariants of CM fields ⋮ Tate kernels and capitulation ⋮ Algebraic K-theory ⋮ On mirror equalities and certain weak forms of Greenberg's conjecture ⋮ Unnamed Item ⋮ Bounds for étale capitulation kernels ⋮ An idelic approach to the wild kernel ⋮ On universal norms and the first layers of \(\mathbb Z_p\)-extensions of a number field ⋮ On finite layers of \(\mathbb{Z}_l\)-extensions and \(K_2\) ⋮ Unnamed Item ⋮ Bounds for étale capitulation kernels. II ⋮ Local extensions associated with \(\ell\)-extensions of number fields with bounded ramification ⋮ On the splitting of the exact sequence, relating the wild and tame kernels ⋮ Bases normales, unités et conjecture faible de Leopoldt. (Normal bases, units, and the weak Leopoldt conjecture)

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