New York Journal of Mathematics New York J Math A Non quasiconvex Subgroup of a Hyperbolic Group with an Exotic Limit Set
نویسنده
چکیده
We construct an example of a torsion free freely indecomposable nitely presented non quasiconvex subgroup H of a word hyperbolic group G such that the limit set of H is not the limit set of a quasiconvex subgroup of G In particular this gives a counterexample to the conjecture of G Swarup that a nitely presented one ended subgroup of a word hyperbolic group is quasiconvex if and only if it has nite index in its virtual normalizer
منابع مشابه
A Non-quasiconvex Subgroup of a Hyperbolic Group with an Exotic Limit Set
We construct an example of a torsion free freely indecomposable finitely presented nonquasiconvex subgroup H of a word hyperbolic group G such that the limit set of G is not the limit set of a quasiconvex subgroup of G. In particular, this gives a counterexample to the conjecture of G.Swarup that a finitely presented one-ended subgroup of a word hyperbolic group is quasiconvex if and only if it...
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