Infinite class field towers of quadratic fields.
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Publication:3717164
DOI10.1515/crll.1986.372.209zbMath0589.12011OpenAlexW127245320MaRDI QIDQ3717164
Publication date: 1986
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/152884
Related Items (21)
A positive proportion of some quadratic number fields with infinite Hilbert 2-class field tower ⋮ Infinite class field towers ⋮ Finiteness of \(T\)-tamely ramified and \(S\)-decomposed towers and \(p\)-towers ⋮ Infinite Hilbert class field tower ⋮ On Hilbert 2-class fields and 2-towers of imaginary quadratic number fields ⋮ Infinite class field towers of number fields of prime power discriminant ⋮ Asymptotic growth patterns for class field towers ⋮ Maximal order codes over number fields ⋮ 5-class towers of cyclic quartic fields arising from quintic reflection ⋮ Growth of Selmer rank in nonabelian extensions of number fields ⋮ Cutting towers of number fields ⋮ Growth of Selmer groups and fine Selmer groups in uniform pro-\(p\) extensions ⋮ Hilbert towers of cubic cyclic extensions of \(\mathbb{Q}\) ⋮ On Greenberg's conjecture on a certain real quadratic field ⋮ Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results ⋮ On the locally cyclotomic tower of a number field ⋮ On \(p^2\)-ranks in the class field tower problem ⋮ Real quadratic fields with abelian 2-class field tower ⋮ HEURISTICS FOR -CLASS TOWERS OF REAL QUADRATIC FIELDS ⋮ Unramified subextensions of ray class towers ⋮ Tamely ramified towers and discriminant bounds for number fields. II.
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