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arXiv · 1501.06185

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

Abstract

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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Sean Cleary, Conchita Martínez-Pérez. 2015-01-25. Undistorted embeddings of metabelian groups of finite Pr\"ufer rank. https://arxiv.org/abs/1501.06185

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