Explicit construction of extensions of \(\mathbb{Q}{} (t)\) of Galois group \(\tilde A_ n\) for \(n\) odd

DOI10.1016/0021-8693(92)90057-SzbMath0754.12002OpenAlexW2026260416MaRDI QIDQ1185951

Leila Schneps

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90057-s

zbMATH Keywords

extensionsGalois groupalternating group of degree \(n\)double covering group of \(A_ n\)Witt invariant of \(Tr(x^ 2)\)

Mathematics Subject Classification ID

Galois theory (11R32) Inverse Galois theory (12F12)

Related Items (1)

Explicit construction ofPSL(2,7) Fields over Q(t) Embeddable inSL(2,7) 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 \(\tilde A_ n)\)
• Explicit construction of \(\tilde A_ n\) type fields
• The Witt invariant of the form \(\text{Tr}(x^ 2)\)
• Unnamed Item

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