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arxiv: 1501.06185 · v1 · pith:IAFU65OTnew · submitted 2015-01-25 · 🧮 math.GR

Undistorted embeddings of metabelian groups of finite Pr\"ufer rank

classification 🧮 math.GR
keywords metabelianembeddingsfinitegrouprankuferanalyzearguments
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General arguments of Baumslag and Bieri guarantee that any metabelian group of finite Pr\"ufer rank can be embedded in a metabelian constructible group. Here, we consider the metric behavior of a rich class of examples and analyze the distortions of specific embeddings.

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