Large mapping tori of free group endomorphisms
| dc.creator | Button, J. O. | |
| dc.date | 2005-11-29 | |
| dc.date.accessioned | 2026-07-07T06:51:52Z | |
| dc.date.available | 2026-07-07T06:51:52Z | |
| dc.description | We present an algorithm which, given any finite presentation of a group as input, will terminate with answer yes if and only if the group is large. We use this to prove that a mapping torus of a finitely generated free group automorphism is large if it contains the integers times the integers as a subgroup of infinite index. We then extend this result to mapping tori of finitely generated free group endomorphisms, as well as showing that such a group is large if it contains a Baumslag-Solitar group of infinite index and has a finite index subgroup with first Betti number at least 2. We also show that if a group possesses a deficiency 1 presentation where one of the relators is a commutator then it is the integers times the integers, or it is large, or it is as far as possible from being residually finite. | |
| dc.description | 41 pages with no figures | |
| dc.identifier | https://arxiv.org/abs/math/0511715 | |
| dc.identifier | http://arxiv.org/abs/math/0511715 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/105133 | |
| dc.subject | Group Theory | |
| dc.subject | 20F05 | |
| dc.title | Large mapping tori of free group endomorphisms | |
| dc.type | text |