Bounded automorphisms and quasi-isometries of finitely generated groups
| dc.creator | Naolekar, Aniruddha C. | |
| dc.creator | Sankaran, Parameswaran | |
| dc.date | 2002-12-09 | |
| dc.date | 2005-12-29 | |
| dc.date.accessioned | 2026-07-07T06:35:33Z | |
| dc.date.available | 2026-07-07T06:35:33Z | |
| dc.description | Let G be any finitely generated infinite group. Denote by K(G) the FC-centre of G, i.e., the subgroup of all elements of G whose centralizers are of finite index in G. Let QI(G) denote the group of quasi-isometries of G with respect to word metric. We observe that the natural homomorphism from the group of automorphisms of G to QI(G) is a monomorphism only if K(G) equals the centre Z(G) of G. The converse holds if K(G)=Z(G) is torsion free. We apply this criterion to many interesting classes of groups. | |
| dc.description | This is the corrected version. Published in J. Group Theory, 8 (2005), 515--522 | |
| dc.identifier | https://arxiv.org/abs/math/0212114 | |
| dc.identifier | http://arxiv.org/abs/math/0212114 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99824 | |
| dc.subject | Group Theory | |
| dc.subject | 20F65, 20F28, 20F67 | |
| dc.title | Bounded automorphisms and quasi-isometries of finitely generated groups | |
| dc.type | text |