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Boundaries and jsj decompositions of cat(0)-groups (2008).
| Content Provider | CiteSeerX |
|---|---|
| Author | Papasoglu, Panos Swenson, Eric |
| Abstract | Abstract. Let G be a one-ended group acting discretely and co-compactly on a CAT(0) space X. We show that ∂X has no cut points and that one can detect splittings of G over two-ended groups and recover its JSJ decomposition from ∂X. We show that any discrete action of a group G on a CAT(0) space X satisfies a convergence type property. This is used in the proof of the results above but it is also of independent interest. In particular, if G acts co-compactly on X, then one obtains as a Corollary that if the Tits diameter of ∂X is bigger than 3π 2 then it is infinite and G contains a free subgroup of rank 2. 1. |
| File Format | |
| Publisher Date | 2008-01-01 |
| Access Restriction | Open |
| Subject Keyword | Boundary Jsj Decomposition Cat Independent Interest Jsj Decomposition Cut Point One-ended Group Convergence Type Property Two-ended Group Tit Diameter Free Subgroup Discrete Action |
| Content Type | Text |
| Resource Type | Article |
