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Central extensions as Galois groups

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Publication:1185955
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DOI10.1016/0021-8693(92)90059-UzbMath0756.12005MaRDI QIDQ1185955

Helmut Voelklein

Publication date: 28 June 1992

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


zbMATH Keywords

Galois groupramificationGalois embedding problemregular Galois extension


Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Inverse Galois theory (12F12) Simple groups: alternating groups and groups of Lie type (20D06)


Related Items (2)

Unramified Heisenberg group extensions of number fields ⋮ Covering groups of \(M_{22}\) as regular Galois groups over \(\mathbb{Q} \)



Cites Work

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  • Alternating groups and moduli space lifting invariants
  • Some finite groups which appear as Gal L/K, where \(K\subseteq {\mathbb{Q}}(\mu _ n)\)
  • The Witt invariant of the form \(\text{Tr}(x^ 2)\)
  • \(\tilde A_5\) and \(\tilde A_7\) are Galois groups over number fields
  • Konstruktive Galoistheorie. (Constructive Galois theory)
  • On central extensions of \(A_ n\) as Galois group over \({\mathbb{Q}}\)
  • Fields of definition of function fields and hurwitz families — groups as galois groups
  • Endliche Gruppen I


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