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The Frattini subgroup of the absolute Galois group of a local field

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Publication:1180402
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DOI10.1007/BF02777817zbMath0753.11041OpenAlexW2041209843MaRDI QIDQ1180402

Juergen Ritter, Moshe Jarden

Publication date: 27 June 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02777817


zbMATH Keywords

absolute Galois grouplocal fieldglobal fieldFrattini subgroupsolvable extensionsFrattini groupmaximal prosolvable extensionminimal Galois extensions


Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Galois theory (11S20)


Related Items (1)

The absolute Galois group of a \(p\)-adic field



Cites Work

  • Über Galoisgruppen lokaler Körper
  • Separably Hilbertian fields
  • Extensions de corps hilberteins
  • On Galois Groups of Local Fields
  • Galoissche Kennzeichnung p-adisch abgeschlossener Körper.
  • Über die Galoissche Gruppe der algebraischen Abschließung eines Potenzreihenkörpers mit endlichem Konstantenkörper
  • Endliche Gruppen I
  • Die Einheitengruppe eines zahm‐verzweigten galoisschen lokalen Körpers als GALOIS‐Modul
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