Class numbers of large degree nonabelian number fields

DOI10.1090/mcom/3335zbMath1469.11435arXiv1606.09320OpenAlexW2963247202MaRDI QIDQ4561381

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Publication date: 5 December 2018

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

Full work available at URL: https://arxiv.org/abs/1606.09320

zbMATH Keywords

class numbernonabelian number fields

Mathematics Subject Classification ID

Other number fields (11R21) Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29)

Uses Software

• Magma

Cites Work

• Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields
• Higher Newton polygons and integral bases
• Factoring polynomials with rational coefficients
• The Magma algebra system. I: The user language
• A construction of nonabelian simple étale fundamental groups
• Class numbers of totally real fields and applications to the Weber class number problem
• A Database for Field Extensions of the Rationals
• Real cyclotomic fields of prime conductor and their class numbers
• Newton polygons of higher order in algebraic number theory
• Maximal unramified extensions of imaginary quadratic number fields of small conductors
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