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On Quasiconvex Subgroups of Word Hyperbolic Groups
Authors:G. N. Arzhantseva
Affiliation:(1) Section de Mathématiques, Université de Genève, CP 240, 1211 Geneva 24, Switzerland
Abstract:We prove that a quasiconvex subgroup H of infinite index of a torsion free word hyperbolic group can be embedded in a larger quasiconvex subgroup which is the free product of H and an infinite cyclic group. Some properties of quasiconvex subgroups of word hyperbolic group are also discussed.
Keywords:word hyperbolic groups  quasiconvex subgroups  commensurator
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