Demuškin groups of rank \(\aleph{}_ 0\) as absolute Galois groups
type: Item
instance of: scholarly article
title: Demuškin groups of rank \(\aleph{}_ 0\) as absolute Galois groups
zbMATH Open document ID: 0748.12003
DOI: 10.1007/BF02567651
author: Roger Ware
author: Ján Mináč
published in: Manuscripta Mathematica
publication date: 1992-09-27T00:00:00Z
full work available at URL: https://eudml.org/doc/155676
review text: A complete classification of the groups mentioned in the title is achieved. Only the case of an odd prime \(p\) is investigated since the case \(p=2\) was settled in the authors' paper [Math. Ann. 292, 337-353 (1992; Zbl 0739.12003)]. The major tools are generic splitting fields of central simple algebras together with Labute's classification of Demuškin groups. The finite case remains open.
Mathematics Subject Classification ID: 12F12
Mathematics Subject Classification ID: 20D15
Mathematics Subject Classification ID: 11R32
zbMATH DE Number: 60096
zbMATH Keywords: inverse Galois theory
zbMATH Keywords: pro-p-groups
zbMATH Keywords: Galois groups
zbMATH Keywords: cyclic algebras
zbMATH Keywords: generic splitting fields
zbMATH Keywords: central simple algebras
zbMATH Keywords: Demuškin groups
MaRDI profile type: Publication
cites work: Generic splitting fields of central simple algebras
cites work: Q5829819
cites work: Classification of Demushkin Groups
cites work: Demuškin groups of rank $\aleph_0$
cites work: Brauer groups of fields
cites work: Formally \(p\)-adic fields
cites work: On the Galois cohomology of the projective linear group and its applications to the construction of generic splitting fields of algebras
OpenAlex ID: W1976681899
description: scientific article; zbMATH DE number 60096