A remark on quaternion extensions of the rational p-adic field

DOI10.3792/pjaa.66.257zbMath0732.11065OpenAlexW2067121775MaRDI QIDQ809138

Genjiro Fujisaki

Publication date: 1990

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.66.257

zbMATH Keywords

Galois quaternion extensionrational p-adic field

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Separable extensions, Galois theory (12F10) Galois theory (11S20)

Related Items

Tame ramification and group cohomology ⋮ Dihedral extensions of degree 8 over the rational \(p\)-adic fields ⋮ Local fields generated by 3-division points of elliptic curves.

Cites Work

• Unnamed Item
• An elementary construction of Galois quaternion extension
• Über Normalkörper mit Quaternionengruppe
• Konstruktion von galoisschen Körpern der Charakteristik p zu vorgegebener Gruppe der Ordnung pf.

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