On quasiconvex subgroups of word hyperbolic groups

Arzhantseva, Goulnara N.

doi:10.1023/A:1012040207144

Scientific article

English

On quasiconvex subgroups of word hyperbolic groups

ContributorsArzhantseva, Goulnara N.

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

Affiliation entities

Faculté des sciences / Section de mathématiques

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

Article (Published version)

Identifiers

PID : unige:12446
DOI : 10.1023/A:1012040207144

Journal ISSN0046-5755

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On quasiconvex subgroups of word hyperbolic groups

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.

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