Combination of quasiconvex subgroups of relatively hyperbolic groups

  • Eduardo Martínez-Pedroza

    Memorial University of Newfoundland, St. John's, Canada

Abstract

For relatively hyperbolic groups, we investigate conditions guaranteeing that the subgroup generated by two quasiconvex subgroups and is quasiconvex and isomorphic to . 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