On Quasiconvex Subgroups of Word Hyperbolic Groups |
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Authors: | G. N. Arzhantseva |
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Affiliation: | (1) Section de Mathématiques, Université de Genève, CP 240, 1211 Geneva 24, Switzerland |
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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. |
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Keywords: | word hyperbolic groups quasiconvex subgroups commensurator |
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