Quasi-isometries between groups with infinitely many ends
| dc.creator | Papazoglu, Panos | |
| dc.creator | Whyte, Kevin | |
| dc.date | 2004-05-14 | |
| dc.date.accessioned | 2026-07-07T05:08:15Z | |
| dc.date.available | 2026-07-07T05:08:15Z | |
| dc.description | Let G and F be finitely generated groups with infinitely many ends and let A and B be graph of groups decompositions of F and G such that all edge groups are finite and all vertex groups have at most one end. We show that G and F are quasi-isometric if and only if every one-ended vertex group of A is quasi-isometric to some one-ended vertex group of B and every one-ended vertex group of B is quasi-isometric to some one-ended vertex group of A. From our proof it also follows that if G is any finitely generated group, of order at least three, the groups: G*G, G*Z,G*G*G and G* Z/2Z are all quasi-isometric. | |
| dc.identifier | https://arxiv.org/abs/math/0405274 | |
| dc.identifier | http://arxiv.org/abs/math/0405274 | |
| dc.identifier | Commentarii Mathematici Helvetici 77, 2002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71191 | |
| dc.subject | Geometric Topology | |
| dc.title | Quasi-isometries between groups with infinitely many ends | |
| dc.type | text |