Limits of (certain) CAT(0) groups, II: The Hopf property and the shortening argument

dc.creatorGroves, Daniel
dc.date2004-08-05
dc.date.accessioned2026-07-07T05:11:04Z
dc.date.available2026-07-07T05:11:04Z
dc.descriptionThis is the second in a series of papers about torsion-free groups which act properly and cocompactly on a CAT(0) metric space with isolated flats and relatively thin triangles. Our approach is to adapt the methods of Sela and others for word-hyperbolic groups to this context of non-positive curvature. The main result in this paper is that (under certain technical hypotheses) such a group as above is Hopfian. This (mostly) answers a question of Sela.
dc.description38 pages
dc.identifierhttps://arxiv.org/abs/math/0408080
dc.identifierhttp://arxiv.org/abs/math/0408080
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72122
dc.subjectGroup Theory
dc.subject20F65, 20F67, 20E08, 57M07
dc.titleLimits of (certain) CAT(0) groups, II: The Hopf property and the shortening argument
dc.typetext

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