Volume 16, issue 4 (2016)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 22
Issue 5, 2007–2532
Issue 4, 1497–2006
Issue 3, 991–1495
Issue 2, 473–990
Issue 1, 1–472

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
The membership problem for $3$–manifold groups is solvable

Stefan Friedl and Henry Wilton

Algebraic & Geometric Topology 16 (2016) 1827–1850
Bibliography
1 I Agol, Tameness of hyperbolic 3–manifolds, preprint (2004) arXiv:math/0405568
2 I Agol, The virtual Haken conjecture, Doc. Math. 18 (2013) 1045 MR3104553
3 M Aschenbrenner, S Friedl, H Wilton, 3–manifold groups, European Mathematical Society (2015) MR3444187
4 M Aschenbrenner, S Friedl, H Wilton, Decision problems for 3–manifolds and their fundamental groups, from: "Interactions between low dimensional topology and mapping class groups" (editors R İ Baykur, J Etnyre, U Hamenstädt), Geom. & Topol. Monographs 19, Geom. & Topol. Publications (2015) 201
5 L Bessières, G Besson, S Maillot, M Boileau, J Porti, Geometrisation of 3–manifolds, 13, European Mathematical Society (2010) MR2683385
6 W W Boone, The word problem, Proc. Nat. Acad. Sci. U.S.A. 44 (1958) 1061 MR0101267
7 R G Burns, A Karrass, D Solitar, A note on groups with separable finitely generated subgroups, Bull. Austral. Math. Soc. 36 (1987) 153 MR897431
8 D Calegari, D Gabai, Shrinkwrapping and the taming of hyperbolic 3–manifolds, J. Amer. Math. Soc. 19 (2006) 385 MR2188131
9 E Chesebro, J DeBlois, H Wilton, Some virtually special hyperbolic 3–manifold groups, Comment. Math. Helv. 87 (2012) 727 MR2980525
10 D J Collins, C F Miller III, The conjugacy problem and subgroups of finite index, Proc. London Math. Soc. 34 (1977) 535 MR0435227
11 M Dehn, Über unendliche diskontinuierliche Gruppen, Math. Ann. 71 (1911) 116 MR1511645
12 R Gitik, Nielsen generating sets and quasiconvexity of subgroups, J. Pure Appl. Algebra 112 (1996) 287 MR1410179
13 F Haglund, Finite index subgroups of graph products, Geom. Dedicata 135 (2008) 167 MR2413337
14 E Hamilton, H Wilton, P A Zalesskii, Separability of double cosets and conjugacy classes in 3–manifold groups, J. Lond. Math. Soc. 87 (2013) 269 MR3022716
15 J Hempel, 3–Manifolds, 86, Princeton Univ. Press (1976) MR0415619
16 J Hempel, Residual finiteness for 3–manifolds, from: "Combinatorial group theory and topology" (editors S M Gersten, J R Stallings), Ann. of Math. Stud. 111, Princeton Univ. Press (1987) 379 MR895623
17 G C Hruska, Relative hyperbolicity and relative quasiconvexity for countable groups, Algebr. Geom. Topol. 10 (2010) 1807 MR2684983
18 W Jaco, D Letscher, J H Rubinstein, Algorithms for essential surfaces in 3–manifolds, from: "Topology and geometry : commemorating SISTAG" (editors A J Berrick, M C Leung, X Xu), Contemp. Math. 314, Amer. Math. Soc. (2002) 107 MR1941626
19 W Jaco, J H Rubinstein, 0–efficient triangulations of 3–manifolds, J. Differential Geom. 65 (2003) 61 MR2057531
20 W Jaco, J L Tollefson, Algorithms for the complete decomposition of a closed 3–manifold, Illinois J. Math. 39 (1995) 358 MR1339832
21 I Kapovich, Detecting quasiconvexity: algorithmic aspects, from: "Geometric and computational perspectives on infinite groups" (editors G Baumslag, D Epstein, R Gilman, H Short, C Sims), DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 25, Amer. Math. Soc. (1996) 91 MR1364182
22 I Kapovich, R Weidmann, A Miasnikov, Foldings, graphs of groups and the membership problem, Internat. J. Algebra Comput. 15 (2005) 95 MR2130178
23 A Minasyan, Hereditary conjugacy separability of right-angled Artin groups and its applications, Groups Geom. Dyn. 6 (2012) 335 MR2914863
24 E E Moise, Affine structures in 3–manifolds, V : The triangulation theorem and Hauptvermutung, Ann. of Math. 56 (1952) 96 MR0048805
25 E E Moise, Geometric topology in dimensions 2 and 3, Springer (1977) MR0488059
26 J Morgan, G Tian, Ricci flow and the Poincaré conjecture, 3, Amer. Math. Soc. (2007) MR2334563
27 J Morgan, G Tian, The geometrization conjecture, 5, Amer. Math. Soc. (2014) MR3186136
28 G A Niblo, Separability properties of free groups and surface groups, J. Pure Appl. Algebra 78 (1992) 77 MR1154898
29 G A Niblo, D T Wise, Subgroup separability, knot groups and graph manifolds, Proc. Amer. Math. Soc. 129 (2001) 685 MR1707529
30 P S Novikov, Ob algoritmičeskoĭ nerazrešimosti problemy toždestva slov v teorii grupp, 44, Izdat. Akad. Nauk SSSR (1955) 143 MR0075197
31 G Perelman, The entropy formula for the Ricci flow and its geometric applications, preprint (2002) arXiv:math/0211159
32 G Perelman, Finite extinction time for the solutions to the Ricci flow on certain three-manifolds, preprint (2003) arXiv:math/0307245
33 G Perelman, Ricci flow with surgery on three-manifolds, preprint (2003) arXiv:math/0303109
34 J P Préaux, Conjugacy problem in groups of oriented geometrizable 3–manifolds, Topology 45 (2006) 171 MR2170497
35 J P Préaux, The conjugacy problem in groups of non-orientable 3–manifolds, Groups Geom. Dyn. 10 (2016) 473 MR3460342
36 M Sageev, D T Wise, Cores for quasiconvex actions, Proc. Amer. Math. Soc. 143 (2015) 2731 MR3336599
37 P Scott, Subgroups of surface groups are almost geometric, J. London Math. Soc. 17 (1978) 555 MR0494062
38 Z Sela, The conjugacy problem for knot groups, Topology 32 (1993) 363 MR1217075
39 J P Serre, Trees, Springer (1980) MR607504
40 W P Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982) 357 MR648524
41 D T Wise, The structure of groups with a quasi-convex hierarchy, preprint (2011)
42 D T Wise, From riches to raags : 3–manifolds, right-angled Artin groups, and cubical geometry, 117, Amer. Math. Soc. (2012) MR2986461