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Journal ArticleDate
2015-11-12Author
Durham, MGTaylor, SJ
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http://hdl.handle.net/20.500.12613/5763
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10.2140/agt.2015.15.2839Abstract
© 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 work
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http://dx.doi.org/10.34944/dspace/5745