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On uniqueness of JSJ decompositions of finitely generated groups
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UNSPECIFIED. (2003) On uniqueness of JSJ decompositions of finitely generated groups. COMMENTARII MATHEMATICI HELVETICI, 78 (4). pp. 740-751. ISSN 0010-2571
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Official URL: http://dx.doi.org/10.1007/s00014-003-0780-y
Abstract
We give an example of two JSJ decompositions of a group that are not related by conjugation, conjugation of edge-inclusions, and slide moves. This answers the question of Rips and Sela stated in [RS]. On the other hand we observe that any two JSJ decompositions of a group are related by an elementary deformation, and that strongly slide-free JSJ decompositions are genuinely unique. These results hold for the decompositions of Rips and Sela, Dunwoody and Sageev, and Fujiwara and Papasoglu, and also for accessible decompositions.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | COMMENTARII MATHEMATICI HELVETICI |
| Publisher: | BIRKHAUSER VERLAG AG |
| ISSN: | 0010-2571 |
| Date: | 2003 |
| Volume: | 78 |
| Number: | 4 |
| Number of Pages: | 12 |
| Page Range: | pp. 740-751 |
| Identification Number: | 10.1007/s00014-003-0780-y |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/9163 |
Data sourced from Thomson Reuters' Web of Knowledge
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