Friedl, Stefan and Silver, Daniel S. and Williams, Susan G. (2015) Splittings of knot groups. MATHEMATISCHE ANNALEN, 362 (1-2). pp. 401-424. ISSN 0025-5831, 1432-1807
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Let be a knot of genus . If is fibered, then it is well known that the knot group splits only over a free group of rank . We show that if is not fibered, then splits over non-free groups of arbitrarily large rank. Furthermore, if is not fibered, then splits over every free group of rank at least . However, cannot split over a group of rank less than . The last statement is proved using recent results of Agol, Przytycki-Wise and Wise.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | TWISTED ALEXANDER POLYNOMIALS; SUTURED FLOER HOMOLOGY; QUASI-CONVEX SUBGROUPS; ARBITRARILY HIGH GENUS; HYPERBOLIC GROUPS; SEIFERT SURFACES; GRAPH MANIFOLDS; IRREDUCIBLE 3-MANIFOLDS; BOUNDED 3-MANIFOLDS; SUFFICIENTLY LARGE; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Stefan Friedl |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 17 Jul 2019 07:23 |
| Last Modified: | 17 Jul 2019 07:23 |
| URI: | https://pred.uni-regensburg.de/id/eprint/5452 |
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