Virtual Amalgamation of Relatively Quasiconvex Subgroups

Eduardo Martinez-Pedroza; Alessandro Sisto

doi:10.2140/agt.2012.12.1993

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arXiv · 1203.5839

Virtual Amalgamation of Relatively Quasiconvex Subgroups

Eduardo Martinez-Pedroza·Alessandro Sisto

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Abstract

For relatively hyperbolic groups, we investigate conditions guaranteeing that the subgroup generated by two relatively quasiconvex subgroups $Q_1$ and $Q_2$ is relatively quasiconvex and isomorphic to $Q_1 \ast_{Q_1 \cap Q_2} Q_2$. The main theorem extends results for quasiconvex subgroups of word-hyperbolic groups, and results for discrete subgroups of isometries of hyperbolic spaces.

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BibTeX RIS

Eduardo Martinez-Pedroza, Alessandro Sisto. 2012-03-26. Virtual Amalgamation of Relatively Quasiconvex Subgroups. https://doi.org/10.2140/agt.2012.12.1993

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