Polynomials over \({\mathbb{Q}}\) solving an embedding problem

DOI10.5802/aif.1010zbMath0546.12006OpenAlexW2327167476MaRDI QIDQ798365

Núria Vila

Publication date: 1985

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1985__35_2_79_0

zbMATH Keywords

polynomialscentral extension of \(A_ n\) as Galois groupembedding in central extension of \(A_ n\)Galois extension with alternating groupGalois group of equation

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Equations in general fields (12E12) Representations of groups as automorphism groups of algebraic systems (20F29)

Related Items (1)

\(\tilde A_5\) and \(\tilde A_7\) are Galois groups over number fields

Cites Work

• The Witt invariant of the form \(\text{Tr}(x^ 2)\)
• Equations with absolute Galois group isomorphic to \(A_ n\).
• On central extensions of \(A_ n\) as Galois group over \({\mathbb{Q}}\)
• Endliche Gruppen I

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