Demuškin groups of rank \(\aleph{}_ 0\) as absolute Galois groups

DOI10.1007/BF02567651zbMath0748.12003OpenAlexW1976681899MaRDI QIDQ1191478

Roger Ware, Mináč, Ján

Publication date: 27 September 1992

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155676

zbMATH Keywords

Galois groupsinverse Galois theorycentral simple algebrascyclic algebraspro-p-groupsgeneric splitting fieldsDemuškin groups

Mathematics Subject Classification ID

Galois theory (11R32) Inverse Galois theory (12F12) Finite nilpotent groups, (p)-groups (20D15)

Related Items (9)

Pro-\(p\) Galois groups of algebraic extensions of \(\mathbb{Q}\) ⋮ The Hanna Neumann conjecture for Demushkin groups ⋮ Demushkin groups of uncountable rank ⋮ The Sylow subgroups of the absolute Galois group \(\mathrm{Gal}(\mathbb{Q})\) ⋮ Pro-2-Demuškin groups of rank \({\aleph{}}_ 0\) as Galois groups of maximal 2-extensions of fields ⋮ On the residue fields of Henselian valued stable fields ⋮ Virtual retraction and Howson’s theorem in pro-$p$ groups ⋮ Henselian valued stable fields ⋮ Finitely generated pro-\(p\) Galois groups of \(p\)-Henselian fields

Cites Work

• Generic splitting fields of central simple algebras
• Formally \(p\)-adic fields
• On the Galois cohomology of the projective linear group and its applications to the construction of generic splitting fields of algebras
• Brauer groups of fields
• Classification of Demushkin Groups
• Demuškin groups of rank $\aleph_0$
• Unnamed Item

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