Explicit construction of \(\tilde A_ n\) type fields

DOI10.1016/0021-8693(89)90263-9zbMath0704.11043OpenAlexW125966139MaRDI QIDQ916710

Teresa Crespo

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90263-9

zbMATH Keywords

Galois groupembedding problemGalois extensionalternating groupspin normquadratic form trace

Mathematics Subject Classification ID

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

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Cites Work

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• The Witt invariant of the form \(\text{Tr}(x^ 2)\)
• \(\tilde A_5\) and \(\tilde A_7\) are Galois groups over number fields
• On central extensions of \(A_ n\) as Galois group over \({\mathbb{Q}}\)