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A Limit Set Intersection Theorem for Graph of Relatively Hyperbolic Groups

Group Theory 2019-12-06 v3

Abstract

Let GG be a relatively hyperbolic group that admits a decomposition into a 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. This result is motivated by the work of Sardar for graph of hyperbolic groups.

Keywords

Cite

@article{arxiv.1812.05396,
  title  = {A Limit Set Intersection Theorem for Graph of Relatively Hyperbolic Groups},
  author = {Swathi Krishna},
  journal= {arXiv preprint arXiv:1812.05396},
  year   = {2019}
}

Comments

14 pages

R2 v1 2026-06-23T06:41:22.382Z