On the residual finiteness and other properties of (relative) one-relator groups
| dc.creator | Pride, Stephen J | |
| dc.date | 2007-06-22 | |
| dc.date.accessioned | 2026-07-07T08:11:54Z | |
| dc.date.available | 2026-07-07T08:11:54Z | |
| dc.description | A relative one-relator presentation has the form P = < X,H ; R > where X is a set, H is a group, and R is a group word on X and H. We show that if the group word on X obtained from R by deleting all the terms from H has what we call the unique max-min property, then the group defined by P is residually finite if and only if H is residually finite (Theorem 1). We apply this to obtain new results concerning the residual finiteness of (ordinary) one-relator groups (Theorem 4). We also obtain results concerning the conjugacy problem for one-relator groups (Theorem 5), and results concerning the relative asphericity of presentations of the form P (Theorem 6). | |
| dc.identifier | https://arxiv.org/abs/0706.3338 | |
| dc.identifier | http://arxiv.org/abs/0706.3338 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132275 | |
| dc.subject | Group Theory | |
| dc.subject | 20E26, 20F05 (Primary) 20F10, 57M07 (Secondary) | |
| dc.title | On the residual finiteness and other properties of (relative) one-relator groups | |
| dc.type | text |