Undistorted embeddings of metabelian groups of finite Prüfer rank

Abstract

General arguments of Baumslag and Bieri guarantee that any metabelian group of finite Prüfer 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.

References in corpus (1)

• Metabelian groups with quadratic Dehn function and Baumslag-Solitar groups