Tame \(A_{n}\)-extensions of \({\mathbb Q}\)

DOI10.1016/S0021-8693(03)00380-6zbMath1057.12003OpenAlexW2016705426MaRDI QIDQ1403859

Bernat Plans, Núria Vila

Publication date: 20 August 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(03)00380-6

zbMATH Keywords

alternating groupHilbert's irreducibility theoremtame extension

Mathematics Subject Classification ID

Galois theory (11R32) Inverse Galois theory (12F12) Polynomials (irreducibility, etc.) (11R09)

Related Items

Galois covers of \(\mathbb P^1\) over \(\mathbb Q\) with prescribed local or global behavior by specialization ⋮ Trinomial extensions of \(\mathbb Q\) with ramification conditions. ⋮ Tame Galois realizations of \(\text{GL}_2(\mathbb F_{\ell})\) over \(\mathbb Q\) ⋮ Unramified extensions over low degree number fields

Cites Work

• Extensions régulières de \({\mathbb{Q}}(T)\) de groupe de Galois \(\tilde A_ n\). (Regular extensions of \({\mathbb{Q}}(T)\) with Galois group \(\tilde A_ n)\)
• A note on the Hilbert irreducibility theorem. The irreducibility theorem and the strong approximation theorem
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