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