Quasiconvex subset

Y

of a geodesic metric space is

K

-quasiconvex when every geodesic between points of

Y

lies in the closed

K

-neighborhood of

Y

.

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- Quasiconvex subgroup Quasiconvex subset

Quasiconvex subgroup

A subgroup is quasiconvex when it is a quasiconvex subset of a Cayley graph. In a hyperbolic group, a finitely generated subgroup is quasiconvex exactly when it is quasi-isometrically embedded.

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Quasiconvex subgroup

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