Large Groups of Deficiency One
| dc.creator | Button, J. O. | |
| dc.date | 2007-10-08 | |
| dc.date.accessioned | 2026-07-07T08:34:46Z | |
| dc.date.available | 2026-07-07T08:34:46Z | |
| dc.description | We prove 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, is large, or is as far as possible from being residually finite. Then we use this to show that a mapping torus of an endomorphism of a finitely generated free group is large if it contains the integers times the integers as a subgroup of infinite index, 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 give applications to free by cyclic groups, 1 relator groups and residually finite groups. | |
| dc.description | Covers similar ground to arXiv:math/0511715 but has been shortened and contains some new results in Sections 5,6,7 | |
| dc.identifier | https://arxiv.org/abs/0710.1586 | |
| dc.identifier | http://arxiv.org/abs/0710.1586 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139551 | |
| dc.subject | Group Theory | |
| dc.title | Large Groups of Deficiency One | |
| dc.type | text |