 

Ilya Kapovich
A Nonquasiconvex Subgroup of a Hyperbolic Group with an Exotic Limit Set


Published: 
December 21, 1995 
Keywords: 
hyperbolic group, quasiconvex subgroup, limit set 
Subject: 
Primary 20F32; Secondary 20E06 


Abstract
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 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 finitely presented
oneended subgroup of a word hyperbolic group is quasiconvex if and
only if it has finite index in its virtual normalizer.


Acknowledgements
This research is supported by an Alfred P. Sloan Doctoral Dissertation Fellowship


Author information
City College, 138th Street and Convent Avenue,
New York, NY 10031
ilya@groups.sci.ccny.cuny.edu

