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Título: Quasi-Actions On Trees II: Finite Depth Bass-Serre Trees (Num. 1008) | |
| Autor: Moher, Lee; Sageev, Michan; Whyte, Kevin | Precio: $937.00 | |
| Editorial: American Mathematical Society | Año: 2011 | |
| Tema: Matematicas | Edición: 1ª | |
| Sinopsis | ISBN: 9780821847121 | |
| This paper addresses questions of quasi-isometric rigidity and classification for fundamental groups of finite graphs of groups, under the assumption that the Bass-Serre tree of the graph of groups has finite depth. The main example of a finite depth graph of groups is one whose vertex and edge groups are coarse Poincaré duality groups. The main theorem says that, under certain hypotheses, if mathcal{G} is a finite graph of coarse Poincaré duality groups, then any finitely generated group quasi-isometric to the fundamental group of mathcal{G} is also the fundamental group of a finite graph of coarse Poincaré duality groups, and any quasi-isometry between two such groups must coarsely preserve the vertex and edge spaces of their Bass-Serre trees of spaces. | ||
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