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Scientific article
English

On quasiconvex subgroups of word hyperbolic groups

Published inGeometriae dedicata, vol. 87, no. 1/3, p. 191-208
Publication date2001
Abstract

We prove that a quasiconvex subgroup H of in¢nite 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 in¢nite cyclic group. Some properties of quasiconvex subgroups ofword hyperbolic group are also discussed.

Keywords
  • Word hyperbolic groups
  • Quasiconvex subgroups
  • Commensurator
Citation (ISO format)
ARZHANTSEVA, Goulnara N. On quasiconvex subgroups of word hyperbolic groups. In: Geometriae dedicata, 2001, vol. 87, n° 1/3, p. 191–208. doi: 10.1023/A:1012040207144
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Article (Published version)
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Identifiers
ISSN of the journal0046-5755
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