Demuškin groups of rank \(\aleph{}_ 0\) as absolute Galois groups
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.
scientific article; zbMATH DE number 60096