On Bousfield problem for the class of metabelian groups
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.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.