Galois realizations with inertia groups of order two

DOI10.1142/S179304211850118XzbMath1412.11136arXiv1701.01969OpenAlexW2963616891MaRDI QIDQ3177699

Daniel Rabayev, Joachim König, Jack Sonn

Publication date: 1 August 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.01969

zbMATH Keywords

Galois groupramificationinertia groupparametric polynomialInverse Galois problem

Mathematics Subject Classification ID

Galois theory (11R32) Polynomials (irreducibility, etc.) (11R09)

Related Items (4)

Constructing unramified extensions over quadratic fields ⋮ On Galois extensions with prescribed decomposition groups ⋮ On number fields with power-free discriminant ⋮ Unramified extensions over low degree number fields

Cites Work

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• Computation of Hurwitz spaces and new explicit polynomials for almost simple Galois groups
• Polynomials with roots in ℚ_{𝕡} for all 𝕡
• On intersective polynomials with non-solvable Galois group
• A Parametric Family of Intersective Polynomials with Galois GroupA₄
• On Galois Realizations of the 2-Coverable Symmetric and Alternating Groups

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