JournalsggdVol. 3, No. 2pp. 317–342

Combination of quasiconvex subgroups of relatively hyperbolic groups

  • Eduardo Martínez-Pedroza

    Memorial University of Newfoundland, St. John's, Canada
Combination of quasiconvex subgroups of relatively hyperbolic groups cover
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Abstract

For relatively hyperbolic groups, we investigate conditions guaranteeing that the subgroup generated by two quasiconvex subgroups Q1 and Q2 is quasiconvex and isomorphic to Q1 ∗Q1 ∩ Q1 Q2. Our results generalize known combination theorems for quasiconvex subgroups of word hyperbolic groups. Some applications are presented.

Cite this article

Eduardo Martínez-Pedroza, Combination of quasiconvex subgroups of relatively hyperbolic groups. Groups Geom. Dyn. 3 (2009), no. 2, pp. 317–342

DOI 10.4171/GGD/59