Actions of solvable Baumslag-Solitar groups on hyperbolic metric spaces

被引：3

作者：

Abbott, Carolyn R. ^{[1
]}

Rasmussen, Alexander J.

机构：

[1] Brandeis Univ, Dept Math, Waltham, MA 02453 USA

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2023年 / 23卷 / 04期

关键词：

D O I：

10.2140/agt.2023.23.1641

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 and 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.

引用

页码：1641 / 1692

页数：53

共 7 条

[1] Hyperbolic structures on groups [J].