Friedl, Stefan and Wilton, Henry (2016) The membership problem for 3-manifold groups is solvable. Algebraic and Geometric Topology, 16 (4). pp. 1827-1850. ISSN 1472-2739,
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We show that the membership problem for finitely generated subgroups of 3-manifold groups is uniformly solvable. That is, there is an algorithm that takes as input a presentation for the fundamental group pi of a compact 3-manifold, a finite generating set for a subgroup Gamma, and an element g is an element of pi, and determines whether or not g is an element of Gamma.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CONJUGACY PROBLEM; SURFACE GROUPS; FINITE INDEX; KNOT-GROUPS; SUBGROUPS; SEPARABILITY; QUASICONVEXITY; MANIFOLDS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Stefan Friedl |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 13 Mar 2019 10:15 |
| Last Modified: | 13 Mar 2019 10:15 |
| URI: | https://pred.uni-regensburg.de/id/eprint/2591 |
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