The complex of partial bases for Fn and nite generation of the Torelli subgroup of Aut(Fn)
| dc.citation.firstpage | 139 | |
| dc.citation.issueNumber | 1 | |
| dc.citation.journalTitle | Geometriae Dedicata | |
| dc.citation.lastpage | 153 | |
| dc.citation.volumeNumber | 164 | |
| dc.contributor.author | Day, Matthew | |
| dc.contributor.author | Putman, Andrew | |
| dc.date.accessioned | 2013-09-13T15:38:21Z | |
| dc.date.available | 2013-09-13T15:38:21Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | We study the complex of partial bases of a free group, which is an analogue for Aut(Fn) of the curve complex for the mapping class group. We prove that it is connected and simply connected, and we also prove that its quotient by the Torelli subgroup of Aut(Fn) is highly connected. Using these results, we give a new, topological proof of a theorem of Magnus that asserts that the Torelli subgroup of Aut(Fn) is nitely generated. | |
| dc.embargo.terms | none | |
| dc.identifier.citation | Day, Matthew and Putman, Andrew. "The complex of partial bases for Fn and nite generation of the Torelli subgroup of Aut(Fn)." <i>Geometriae Dedicata,</i> 164, no. 1 (2013) Springer: 139-153. http://dx.doi.org/10.1007/s10711-012-9765-6. | |
| dc.identifier.doi | http://dx.doi.org/10.1007/s10711-012-9765-6 | |
| dc.identifier.uri | https://hdl.handle.net/1911/71893 | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.rights | This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Springer. | |
| dc.title | The complex of partial bases for Fn and nite generation of the Torelli subgroup of Aut(Fn) | |
| dc.type | Journal article | |
| dc.type.dcmi | Text | |
| dc.type.publication | post-print |