Combination of quasiconvex subgroups of relatively hyperbolic groups

Eduardo Martinez-Pedroza

doi:10.4171/GGD/59

Combination of quasiconvex subgroups of relatively hyperbolic groups

Group Theory 2016-02-17 v2

Authors: Eduardo Martinez-Pedroza

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Abstract

For relatively hyperbolic groups, we investigate conditions guaranteeing that the subgroup generated by two quasiconvex subgroups $Q$ and $R$ is quasiconvex and isomorphic to $Q \ast_{Q\cap R} R$ . Our results generalized known combination theorems for quasiconvex subgroups of word-hyperbolic groups. Some applications are presented.

Keywords

hyperbolic groups quasi-isometry hyperbolic geometry

Cite

@article{arxiv.0709.2113,
  title  = {Combination of quasiconvex subgroups of relatively hyperbolic groups},
  author = {Eduardo Martinez-Pedroza},
  journal= {arXiv preprint arXiv:0709.2113},
  year   = {2016}
}

Comments

25 pages, 12 figures. v2: Improved the exposition. Rewriting of parts due to referee's comments. Version to appear in "Groups, Geometry and Dynamics"

Combination of quasiconvex subgroups of relatively hyperbolic groups

Abstract

Keywords

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