Twisted conjugacy classes in Symplectic groups, Mapping class groups and Braid groups(including an Appendix written with Francois Dahmani)
| dc.creator | Fel'shtyn, Alexander | |
| dc.creator | Gonçalves, Daciberg L. | |
| dc.date | 2007-08-20 | |
| dc.date | 2007-12-16 | |
| dc.date.accessioned | 2026-07-07T08:49:08Z | |
| dc.date.available | 2026-07-07T08:49:08Z | |
| dc.description | We prove that the symplectic group $Sp(2n,\mathbb Z)$ and the mapping class group $Mod_{S}$ of a compact surface $S$ satisfy the $R_{\infty}$ property. We also show that $B_n(S)$, the full braid group on $n$-strings of a surface $S$, satisfies the $R_{\infty}$ property in the cases where $S$ is either the compact disk $D$, or the sphere $S^2$. This means that for any automorphism $ϕ$ of $G$, where $G$ is one of the above groups, the number of twisted $ϕ$-conjugacy classes is infinite. | |
| dc.description | 21 pages, with Appendix | |
| dc.identifier | https://arxiv.org/abs/0708.2628 | |
| dc.identifier | http://arxiv.org/abs/0708.2628 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144190 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.subject | 20E45; 37C25; 55M20 | |
| dc.title | Twisted conjugacy classes in Symplectic groups, Mapping class groups and Braid groups(including an Appendix written with Francois Dahmani) | |
| dc.type | text |