The inverse Galois problem for \(\mathrm{PSL}_2(\mathbb {F}_p)\)

DOI10.1215/00127094-3129271zbMath1332.12007arXiv1409.1151OpenAlexW2147526936MaRDI QIDQ894209

David Zywina

Publication date: 27 November 2015

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.1151

zbMATH Keywords

inverse Galois theoryelliptic surfaceselliptic curves over global fields

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Inverse Galois theory (12F12)

Related Items (14)

How big is the image of the Galois representations attached to CM elliptic curves? ⋮ Rational rigidity for \(F_4(p)\) ⋮ On a probabilistic local-global principle for torsion on elliptic curves ⋮ On a variant of the Beckmann–Black problem ⋮ Modular forms and some cases of the Inverse Galois Problem ⋮ -adic images of Galois for elliptic curves over (and an appendix with John Voight) ⋮ The inverse Galois problem for orthogonal groups ⋮ SIEVES AND THE MINIMAL RAMIFICATION PROBLEM ⋮ Stronger arithmetic equivalence ⋮ On non-surjective word maps on \(\mathrm{PSL}_2(\mathbb{F}_q)\) ⋮ Automorphic Galois representations and the inverse Galois problem for certain groups of type 𝐷ₘ ⋮ A refined notion of arithmetically equivalent number fields, and curves with isomorphic Jacobians ⋮ Chow's theorem for semi-abelian varieties and bounds for splitting fields of algebraic tori ⋮ Constructing hyperelliptic curves with surjective Galois representations

Uses Software

• Magma

Cites Work

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