Finiteness of \(T\)-tamely ramified and \(S\)-decomposed towers and \(p\)-towers

DOI10.5802/jtnb.156zbMath0877.11060OpenAlexW2324104825MaRDI QIDQ1919151

Christian Maire

Publication date: 7 November 1996

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1996__8_1_47_0

zbMATH Keywords

number fieldsGalois theorydiscriminantgenus theoryfiniteness criterionHilbert tower

Mathematics Subject Classification ID

Galois theory (11R32) Class field theory (11R37) Class numbers, class groups, discriminants (11R29)

Related Items

ON TSFASMAN–VLĂDUŢ INVARIANTS OF INFINITE GLOBAL FIELDS ⋮ Finiteness of \(T\)-tamely ramified and \(S\)-decomposed towers and \(p\)-towers ⋮ The finitude of tamely ramified pro-\(p\) extensions of number fields with cyclic \(p\)-class groups ⋮ Maximal order codes over number fields ⋮ Analytic lie extensions of number fields with cyclic fixed points and tame ramification ⋮ Varieties over finite fields: quantitative theory

Cites Work

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• Konstruktion imaginärquadratischer Körper mit unendlichem Klassenkörperturm
• Number theory II: Algebraic number theory. Transl. from the Russian
• Tours de corps de classes et estimations de discriminants
• Tours ramifiées infinies de corps de classes. (Infinite ramified class field towers)
• Finiteness of \(T\)-tamely ramified and \(S\)-decomposed towers and \(p\)-towers
• Infinite class field towers of quadratic fields.
• ON THE CLASS FIELD TOWER OF AN IMAGINARY QUADRATIC NUMBER FIELD