Trinomial extensions of \(\mathbb Q\) with ramification conditions.

DOI10.1016/j.jnt.2003.11.001zbMath1048.11086OpenAlexW2092014217MaRDI QIDQ1429820

Bernat Plans, Núria Vila

Publication date: 27 May 2004

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2003.11.001

zbMATH Keywords

Galois groupstrinomialsalternating groupsramification

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Inverse Galois theory (12F12)

Related Items (3)

Galois covers of \(\mathbb P^1\) over \(\mathbb Q\) with prescribed local or global behavior by specialization ⋮ WILD RAMIFICATION IN TRINOMIAL EXTENSIONS AND GALOIS GROUPS ⋮ On quadratic fields generated by discriminants of irreducible trinomials

Cites Work

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• Tame \(A_{n}\)-extensions of \({\mathbb Q}\)
• Discriminants of number fields defined by trinomials
• Double transitivity of Galois groups of trinomials
• Rational trinomials with the alternating group as Galois group

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