Bases normales, unités et conjecture faible de Leopoldt. (Normal bases, units, and the weak Leopoldt conjecture)

DOI10.1007/BF02568401zbMath0732.11063WikidataQ122888587 ScholiaQ122888587MaRDI QIDQ809136

Vincent Fleckinger, Thong Nguyen Quang Do

Publication date: 1991

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155612

zbMATH Keywords

Iwasawa theoryKummer theoryLeopoldt conjecture

Mathematics Subject Classification ID

Galois theory (11R32) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items

On the ring of \(p\)-integers of a cyclic \(p\)-extension over a number field, Normal basis and Greenberg's conjecture, On some arithmetic properties of Siegel functions (II), Greenberg's conjecture and relative unit groups for real quadratic fields, The prime-to-adjoint principle and unobstructed Galois deformations in the Borel case, Normal bases and \(\lambda\)-invariants of number fields, On the Galois module structure over CM-fields, On universal norms and the first layers of \(\mathbb Z_p\)-extensions of a number field, Twisted \(S\)-units, \(p\)-adic class number formulas, and the Lichtenbaum conjectures, On a normal integral basis problem over cyclotomic \(Z_{p}\)-extensions. II.

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