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

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    • 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
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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