On rational functions with monodromy group \(M_{11}\)

DOI10.1016/j.jsc.2016.02.014zbMath1383.12001arXiv1503.06686OpenAlexW2964099058MaRDI QIDQ507147

Joachim König

Publication date: 3 February 2017

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

Full work available at URL: https://arxiv.org/abs/1503.06686

zbMATH Keywords

number fieldsmoduli spacesGalois theorymonodromy groups

Mathematics Subject Classification ID

Inverse Galois theory (12F12) Coverings of curves, fundamental group (14H30) Multiply transitive finite groups (20B20)

Related Items (6)

On intersective polynomials with non-solvable Galois group ⋮ On the mod-p distribution of discriminants of G-extensions ⋮ Computation of Belyi maps with prescribed ramification and applications in Galois theory ⋮ Galois subspaces for the rational normal curve ⋮ The admissibility of \(M_{11}\) over number fields ⋮ Unramified extensions over low degree number fields

Uses Software

• GAP
• BRAID

Cites Work

• The inverse Galois problem and rational points on moduli spaces
• Nonrigid constructions in Galois theory
• Lightly ramified number fields with Galois group \(S.M_{12}.A\)
• A database of number fields
• A GAP Package for Braid Orbit Computation and Applications
• Construction d'une extension régulière de Q(T) de groupe de Galois M₂₄
• Plane curve complements and curves on Hurwitz spaces
• A Database for Field Extensions of the Rationals
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