Tamely ramified towers and discriminant bounds for number fields. II.

DOI10.1006/jsco.2001.0514zbMath1086.11051OpenAlexW2038598984MaRDI QIDQ1600040

Farshid Hajir, Christian Maire

Publication date: 11 June 2002

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.2001.0514

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class field theory (11R37) Class numbers, class groups, discriminants (11R29)

Related Items (14)

Computation of Galois groups associated to the 2-class towers of some imaginary quadratic fields with 2-class group \(C_2 \times C_2\times C_2\) ⋮ Galois groups of tamely ramified \(p\)-extensions ⋮ Manifolds counting and class field towers ⋮ Maximal order codes over number fields ⋮ Cutting towers of number fields ⋮ Nonsolvable number fields ramified only at 3 and 5 ⋮ Asymptotic behaviour of the Euler-Kronecker constant ⋮ Codes from unit groups of division algebras over number fields ⋮ A non-solvable Galois extension of \(\mathbb Q\) ramified at 2 only ⋮ A Polynomial with Galois Groups SL₂(F₁₆) ⋮ Solvable number field extensions of bounded root discriminant ⋮ The 2-Class Tower of $$\mathbb {Q}(\sqrt{-5460})$$Q(-5460) ⋮ Unramified subextensions of ray class towers ⋮ A note on tamely ramified towers of global function fields

Uses Software

• KANT/KASH

Cites Work

• Tours de corps de classes et estimations de discriminants
• Unramified subextensions of ray class towers
• A Note on the Class-Numbers of Algebraic Number Fields
• Infinite class field towers of quadratic fields.
• On class field towers
• Extensions with given points of ramification
• Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results
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