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Boundaries and JSJ Decompositions of CAT(0)-Groups
| Content Provider | Semantic Scholar |
|---|---|
| Author | Papasoglu, Panos Swenson, Eric L. |
| Copyright Year | 2007 |
| 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. |
| Starting Page | 558 |
| Ending Page | 590 |
| Page Count | 33 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s00039-009-0012-8 |
| Volume Number | 19 |
| Alternate Webpage(s) | https://arxiv.org/pdf/math/0701618v2.pdf |
| Alternate Webpage(s) | http://users.uoa.gr/~ppapazog/research/Cat-Jan07.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0701618v2.pdf |
| Alternate Webpage(s) | https://pure.mpg.de/rest/items/item_3123529_1/component/file_3123530/content |
| Alternate Webpage(s) | https://doi.org/10.1007/s00039-009-0012-8 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
