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On Quasiconvex Subgroups of Word Hyperbolic Groups

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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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Arzhantseva, G.N. On Quasiconvex Subgroups of Word Hyperbolic Groups. Geometriae Dedicata 87, 191–208 (2001). https://doi.org/10.1023/A:1012040207144

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