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arXiv · 1906.04227

Actions of solvable Baumslag-Solitar groups on hyperbolic metric spaces

Carolyn R. Abbott·Alexander J. Rasmussen
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Abstract

We give a complete list of the cobounded actions of solvable Baumslag-Solitar groups on hyperbolic metric spaces up to a natural equivalence relation. The set of equivalence classes carries a natural partial order first introduced by Abbott-Balasubramanya-Osin, and we describe the resulting poset completely. There are finitely many equivalence classes of actions, and each equivalence class contains the action on a point, a tree, or the hyperbolic plane.

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BibTeXRIS

Carolyn R. Abbott, Alexander J. Rasmussen. 2019-06-10. Actions of solvable Baumslag-Solitar groups on hyperbolic metric spaces. https://doi.org/10.2140/agt.2023.23.1641

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