Explicit construction ofPSL(2,7) Fields over Q(t) Embeddable inSL(2,7) Fields

DOI10.1080/00927879608825787zbMath0863.12007OpenAlexW2102675325MaRDI QIDQ4714527

John R. Swallow

Publication date: 15 June 1997

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

Full work available at URL: https://doi.org/10.1080/00927879608825787

zbMATH Keywords

Galois groupGalois embedding problemHasse-Witt invariantPSL(2,7)SL(2,7)

Mathematics Subject Classification ID

Related Items (1)

Unramified extensions of quadratic number fields with certain perfect Galois groups

Cites Work

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• Explicit construction of \(\tilde A_ n\) type fields
• The Witt invariant of the form \(\text{Tr}(x^ 2)\)
• Explicit construction of extensions of \(\mathbb{Q}{} (t)\) of Galois group \(\tilde A_ n\) for \(n\) odd
• Polynomials with galois group psl(2,7)

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