Detecting large groups
| dc.creator | Lackenby, Marc | |
| dc.date | 2007-02-20 | |
| dc.date.accessioned | 2026-07-07T07:47:49Z | |
| dc.date.available | 2026-07-07T07:47:49Z | |
| dc.description | Let G be a finitely presented group, and let p be a prime. Then G is 'large' (respectively, 'p-large') if some normal subgroup with finite index (respectively, index a power of p) admits a non-abelian free quotient. This paper provides a variety of new methods for detecting whether G is large or p-large. These relate to the group's profinite and pro-p completions, to its first L2-Betti number and to the existence of certain finite index subgroups with 'rapid descent'. The paper draws on new topological and geometric techniques, together with a result on error-correcting codes. | |
| dc.description | 31 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0702571 | |
| dc.identifier | http://arxiv.org/abs/math/0702571 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124293 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.subject | 20F65, 20E07 | |
| dc.title | Detecting large groups | |
| dc.type | text |