Geodesic
Combination of quasiconvex subgroups of relatively hyperbolic groups
Eduardo Martínez-Pedroza1
1Memorial University of Newfoundland, St. John's, Canada
Groups, geometry, and dynamics, Tome 3 (2009) no. 2, pp. 317-342

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DOI

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​ ∩ Q2​​Q2​. Our results generalize known combination theorems for quasiconvex subgroups of word hyperbolic groups. Some applications are presented.
DOI : 10.4171/ggd/59
Classification : 20-XX, 00-XX
Mots-clés : Relatively hyperbolic group, quasi-convex subgroup, combination theorem, parabolic subgroup

Eduardo Martínez-Pedroza  1

1 Memorial University of Newfoundland, St. John's, Canada 
Eduardo Martínez-Pedroza. Combination of quasiconvex subgroups of relatively hyperbolic groups. Groups, geometry, and dynamics, Tome 3 (2009) no. 2, pp. 317-342. doi: 10.4171/ggd/59
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     title = {Combination of quasiconvex subgroups of relatively hyperbolic groups},
     journal = {Groups, geometry, and dynamics},
     pages = {317--342},
     year = {2009},
     volume = {3},
     number = {2},
     doi = {10.4171/ggd/59},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/59/}
}
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