Finiteness results for Hilbert's irreducibility theorem

DOI10.5802/aif.1907zbMath1014.12002arXivmath/0109071OpenAlexW1494336394MaRDI QIDQ1613967

Peter Müller

Publication date: 3 September 2002

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0109071

zbMATH Keywords

permutation groupsHilbert's irreducibility theoremHilbert sets

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Arithmetic ground fields for curves (14H25) Primitive groups (20B15) Hilbertian fields; Hilbert's irreducibility theorem (12E25) Field arithmetic (12E30)

Related Items (9)

Symmetric Galois groups under specialization ⋮ Specializations of one-parameter families of polynomials ⋮ Rational pullbacks of Galois covers ⋮ Non-parametric sets of regular realizations over number fields ⋮ The admissibility of \(M_{11}\) over number fields ⋮ POLYNOMIAL ROOT SEPARATION ⋮ On the reducibility behavior of Thue polynomials ⋮ Galois families of modular forms and application to weight one ⋮ Algebraic properties of a family of Jacobi polynomials

Cites Work

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• Hilbert subsets and \(s\)-integral points
• On the invariance of chains of fields
• G-fonctions et théorème d'irreductibilite de Hilbert
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