On the construction of class fields

DOI10.2140/obs.2019.2.239OpenAlexW2911370464MaRDI QIDQ6165869

Tommy Hofmann, Carlo Sircana, Claus Fieker

Publication date: 2 August 2023

Published in: The Open Book Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/obs.2019.2.239

zbMATH Keywords

class field theoryclass fieldalgorithmic number theory

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class field theory (11R37)

Related Items (6)

Computation of lattice isomorphisms and the integral matrix similarity problem ⋮ On the computation of overorders ⋮ Ideal classes of orders in quaternion algebras ⋮ Computing isomorphisms between lattices ⋮ On the p‐adic Stark conjecture at s=1 and applications ⋮ On unit signatures and narrow class groups of odd degree abelian number fields

Cites Work

• Factoring polynomials with rational coefficients
• On the computation of Hilbert class fields
• On the computation of the HNF of a module over the ring of integers of a number field
• A survey of computational class field theory
• Computing class fields via the Artin map
• Subexponential class group and unit group computation in large degree number fields
• Computational class field theory
• Subgroup lattices and symmetric functions
• Computing ray class groups, conductors and discriminants
• A Database for Field Extensions of the Rationals
• Advanced Topics in Computional Number Theory
• Nemo/Hecke
• Über den Klassenkörper zum quadratischen Zahlkörper mit der Diskriminante - 47
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