On central extensions of \(A_ n\) as Galois group over \({\mathbb{Q}}\)

DOI10.1007/BF01229325zbMath0562.12011OpenAlexW2984924212MaRDI QIDQ2266736

Núria Vila

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01229325

zbMATH Keywords

embedding problemalternating grouptrace formcentral extensioninverse problem of Galois theoryHasse-Witt-invariantfamilies of equations

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Galois theory (11R32) Representations of groups as automorphism groups of algebraic systems (20F29) General binary quadratic forms (11E16)

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Cites Work

• The Witt invariant of the form \(\text{Tr}(x^ 2)\)
• On the construction of Galois extensions of function fields and number fields
• Galois properties of points of finite order of elliptic curves
• Konstruktion von Zahl- und Funktionenkörpern mit vorgegebener Galoisgruppe.
• A reciprocity law in non-solvable extensions.
• Extensions of the Rationals with Galois Group Pgl(2,Z_n )
• Zum Einbettungsproblem.
• Endliche Gruppen I
• Introduction to Algebraic K-Theory. (AM-72)