Detecting the growth of free group automorphisms by their action on the homology of subgroups of finite index
| dc.creator | Piggott, Adam | |
| dc.date | 2004-09-18 | |
| dc.date.accessioned | 2026-07-07T05:12:16Z | |
| dc.date.available | 2026-07-07T05:12:16Z | |
| dc.description | We prove that if F is a finitely generated free group and f:F -> F is an automorphism with polynomial growth of degree d, then there exists a characteristic subgroup S < F of finite index such that the induced automorphism of the abelianisation of S also grows polynomially of degree d. The proof is geometric in nature and makes use of improved relative train track representatives. | |
| dc.description | 59 Pages, 10 figures, excerpt from thesis to be submitted for D.Phil at the University of Oxford | |
| dc.identifier | https://arxiv.org/abs/math/0409319 | |
| dc.identifier | http://arxiv.org/abs/math/0409319 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72519 | |
| dc.subject | Group Theory | |
| dc.subject | 20E36, 20E05 (primary); 20F65, 05C25 (secondary) | |
| dc.title | Detecting the growth of free group automorphisms by their action on the homology of subgroups of finite index | |
| dc.type | text |