Permanent link to this recordhttp://hdl.handle.net/20.500.12613/5763
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Abstract© 2015, Mathematical Sciences Publishers. All rights reserved. We introduce a strong notion of quasiconvexity in finitely generated groups, which we call stability. Stability agrees with quasiconvexity in hyperbolic groups and is preserved under quasi-isometry for finitely generated groups. We show that the stable subgroups of mapping class groups are precisely the convex cocompact subgroups. This generalizes a well-known result of Behrstock and is related to questions asked by Farb and Mosher and by Farb.
Citation to related workMathematical Sciences Publishers
Has partAlgebraic and Geometric Topology
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