On the Splitting Field of Some Polynomials with Class Number One

DOI10.1007/978-3-030-36237-9_4zbMath1448.11199OpenAlexW2996199098MaRDI QIDQ3294868

Abdelmalek Azizi

Publication date: 29 June 2020

Published in: Algebra, Codes and Cryptology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-36237-9_4

zbMATH Keywords

class number one problemHilbert class field towerssplitting field of a polynomials

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29)

Cites Work

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• The class number one problem for some non-normal CM-fields of degree \(2p\)
• The Galois groups of the polynomials \(X^ n+aX\ell +b\)
• On unramified Galois extensions of real quadratic number fields
• Algebraic number fields with the discriminant equal to that of a quadratic number field
• Sur une classe d'extensions non ramifiées
• Gauss’ class number problem for imaginary quadratic fields
• On unramified A_m-extensions of quadratic number fields
• Imaginary quadratic fields with small odd class number
• Class numbers of imaginary quadratic fields

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