Abstract
A necessary condition that a continuous epimorphism from a Demushkin groupG onto a finitep-groupH can be factored epimorphically through a free prop-groupS-is given, which is sufficient whenH is abelian of exponentp m≠2,m depending onG, 1≦m≦∞. In particular a free prop-factor groupS toG can have rank at most one half rankG. Application is made to embedding problems over localp-adic fields.
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Sonn, J. Epimorphisms of demushkin groups. Israel J. Math. 17, 176–190 (1974). https://doi.org/10.1007/BF02882237
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DOI: https://doi.org/10.1007/BF02882237