Lifting representations of Z-groups
| dc.creator | Silver, Daniel S. | |
| dc.creator | Williams, Susan G. | |
| dc.date | 2004-05-24 | |
| dc.date | 2005-03-04 | |
| dc.date.accessioned | 2026-07-07T05:08:32Z | |
| dc.date.available | 2026-07-07T05:08:32Z | |
| dc.description | Let K be the kernel of an epimorphism G -> Z, where G is a finitely presented group. If K has infinitely many subgroups of index 2, 3, or 4, then it has uncountably many. Moreover, if K is the commutator subgroup of a classical knot group G, then any homomorphism from K onto the symmetric group S_2 lifts to a homomorphism onto S_3, and any homomorphism from K onto Z_3 lifts to a homomorphism onto the alternating group A_4. | |
| dc.description | Version 2 has a new example 3.6 and other small revisions. To appear in Israel J. Math. Plain TeX, 14 pages with 1 eps figure | |
| dc.identifier | https://arxiv.org/abs/math/0405457 | |
| dc.identifier | http://arxiv.org/abs/math/0405457 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71300 | |
| dc.subject | Geometric Topology | |
| dc.subject | Group Theory | |
| dc.subject | 20E07; 37B10; 57M27 | |
| dc.title | Lifting representations of Z-groups | |
| dc.type | text |