Article ID Journal Published Year Pages File Type
6425328 Advances in Mathematics 2016 38 Pages PDF
Abstract

The homological properties of localizations and completions of metabelian groups are studied. It is shown that, for R=Q or R=Z/n and a finitely presented metabelian group G, the natural map from G to its R-completion induces an epimorphism of homology groups H2(−,R). This answers a problem of A.K. Bousfield for the class of metabelian groups.

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Physical Sciences and Engineering Mathematics Mathematics (General)
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