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dc.creatorDurham, MG
dc.creatorTaylor, SJ
dc.date.accessioned2021-02-03T17:06:28Z
dc.date.available2021-02-03T17:06:28Z
dc.date.issued2015-11-12
dc.identifier.issn1472-2747
dc.identifier.issn1472-2739
dc.identifier.doihttp://dx.doi.org/10.34944/dspace/5745
dc.identifier.otherCX5VI (isidoc)
dc.identifier.urihttp://hdl.handle.net/20.500.12613/5763
dc.description.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.
dc.format.extent2839-2859
dc.language.isoen
dc.relation.haspartAlgebraic and Geometric Topology
dc.relation.isreferencedbyMathematical Sciences Publishers
dc.subjectmath.GT
dc.subjectmath.GT
dc.subjectmath.GR
dc.titleConvex cocompactness and stability in mapping class groups
dc.typeArticle
dc.type.genreJournal Article
dc.relation.doi10.2140/agt.2015.15.2839
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.date.updated2021-02-03T17:06:25Z
refterms.dateFOA2021-02-03T17:06:29Z


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