• A limit set intersection theorem for graphs of relatively hyperbolic groups

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/130/0036

• # Keywords

Relatively hyperbolic groups; Cannon–Thurston maps; conical limit points; graph of groups

• # Abstract

Let $G$ be a relatively hyperbolic group that admits a decomposition intoa finite graph of relatively hyperbolic groups structure with quasi-isometrically (qi)embedded condition. We prove that the set of conjugates of all the vertex and edge groups satisfy the limit set intersection property for conical limit points (refer to Definition 3 and Definition 23 for the definitions of conical limit points and limit set intersection property respectively). This result is motivated by the work of Sardar for graph of hyperbolic groups [16].

• # Author Affiliations

1. Indian Institute of Science Education and Research Mohali, Mohali, Punjab 140 306, India

• # Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019