A limit set intersection theorem for graphs of relatively hyperbolic groups
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 .
Volume 130, 2020
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