Torsion numbers of augmented groups: with applications to knots and links
| dc.creator | Silver, Daniel S. | |
| dc.creator | Williams, Susan G. | |
| dc.date | 2002-02-19 | |
| dc.date | 2002-08-06 | |
| dc.date.accessioned | 2026-07-07T04:46:34Z | |
| dc.date.available | 2026-07-07T04:46:34Z | |
| dc.description | Torsion and Betti numbers for knots are special cases of more general invariants associated to a finitely generated group G and epimorphism from G to the integers. The sequence of Betti numbers is always periodic; under mild hypotheses, the sequence of torsion numbers satisfies a linear homogeneous recurrence relation with constant coeffiencts. Generally, the torsion number sequence exhibits exponential growth rate. However, again under mild hypotheses, the p-part has trivial growth for any prime p. Applications to branched cover homology for knots and links are presented. | |
| dc.description | 24 pages, no figures. Small corrections and amplifications of previous version | |
| dc.identifier | https://arxiv.org/abs/math/0202197 | |
| dc.identifier | http://arxiv.org/abs/math/0202197 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63382 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57Q45; 37B10, 11R06 | |
| dc.title | Torsion numbers of augmented groups: with applications to knots and links | |
| dc.type | text |