Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6425328 | Advances in Mathematics | 2016 | 38 Pages |
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(â,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)
Authors
Sergei O. Ivanov, Roman Mikhailov,