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

Volume 30
Issue 5, 1611–2042
Issue 4, 1203–1610
Issue 3, 835–1201
Issue 2, 389–833
Issue 1, 1–388

Volume 29, 9 issues

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
 
Author index
To appear
 
Other MSP journals
Hyperbolic hyperbolic-by-cyclic groups are cubulable

François Dahmani, Suraj Krishna Meda Satish and Jean Pierre Mutanguha

Geometry & Topology 29 (2025) 259–268
Bibliography
1 I Agol, The virtual Haken conjecture, Doc. Math. 18 (2013) 1045 MR3104553
2 Y Antolín, A Minasyan, Tits alternatives for graph products, J. Reine Angew. Math. 704 (2015) 55 MR3365774
3 N Bergeron, D T Wise, A boundary criterion for cubulation, Amer. J. Math. 134 (2012) 843 MR2931226
4 M Bestvina, M Feighn, Stable actions of groups on real trees, Invent. Math. 121 (1995) 287 MR1346208
5 M Bestvina, M Handel, Train tracks and automorphisms of free groups, Ann. of Math. 135 (1992) 1 MR1147956
6 M Bestvina, M Feighn, M Handel, Laminations, trees, and irreducible automorphisms of free groups, Geom. Funct. Anal. 7 (1997) 215 MR1445386
7 B H Bowditch, Cut points and canonical splittings of hyperbolic groups, Acta Math. 180 (1998) 145 MR1638764
8 P Brinkmann, Mapping tori of automorphisms of hyperbolic groups, PhD thesis, University of Utah (2000) MR2700022
9 D Cooper, D D Long, A W Reid, Bundles and finite foliations, Invent. Math. 118 (1994) 255 MR1292113
10 F Dahmani, R Li, Relative hyperbolicity for automorphisms of free products and free groups, J. Topol. Anal. 14 (2022) 55 MR4411100
11 F Dahmani, S K Meda Satish, Cubulating a free-product-by-cyclic group, (2022) arXiv:2212.09869
12 S Douba, B Fléchelles, T Weisman, F Zhu, Cubulated hyperbolic groups admit Anosov representations, preprint (2023) arXiv:2309.03695
13 G Dufour, Cubulations de variétés hyperboliques compactes, PhD thesis, Université Paris-Sud (2012)
14 M J Dunwoody, The accessibility of finitely presented groups, Invent. Math. 81 (1985) 449 MR0807066
15 E Einstein, D Groves, Relative cubulations and groups with a 2-sphere boundary, Compos. Math. 156 (2020) 862 MR4079630
16 S Francaviglia, A Martino, Stretching factors, metrics and train tracks for free products, Illinois J. Math. 59 (2015) 859 MR3628293
17 D Groves, J F Manning, Hyperbolic groups acting improperly, Geom. Topol. 27 (2023) 3387 MR4674833
18 M F Hagen, D T Wise, Cubulating hyperbolic free-by-cyclic groups: the general case, Geom. Funct. Anal. 25 (2015) 134 MR3320891
19 M F Hagen, D T Wise, Cubulating hyperbolic free-by-cyclic groups: the irreducible case, Duke Math. J. 165 (2016) 1753 MR3513573
20 F Haglund, D T Wise, Special cube complexes, Geom. Funct. Anal. 17 (2008) 1551 MR2377497
21 C Horbez, The boundary of the outer space of a free product, Israel J. Math. 221 (2017) 179 MR3705852
22 T Hsu, D T Wise, Cubulating malnormal amalgams, Invent. Math. 199 (2015) 293 MR3302116
23 J Kahn, V Markovic, Immersing almost geodesic surfaces in a closed hyperbolic three manifold, Ann. of Math. 175 (2012) 1127 MR2912704
24 A Karrass, A Pietrowski, D Solitar, Finite and infinite cyclic extensions of free groups, J. Austral. Math. Soc. 16 (1973) 458 MR0349850
25 A Martino, A proof that all Seifert 3-manifold groups and all virtual surface groups are conjugacy separable, J. Algebra 313 (2007) 773 MR2329568
26 A Minasyan, P Zalesskii, Virtually compact special hyperbolic groups are conjugacy separable, Comment. Math. Helv. 91 (2016) 609 MR3566518
27 M Mitra, Cannon–Thurston maps for hyperbolic group extensions, Topology 37 (1998) 527 MR1604882
28 J Nielsen, Die Isomorphismen der allgemeinen, unendlichen Gruppe mit zwei Erzeugenden, Math. Ann. 78 (1917) 385 MR1511907
29 M R Pettet, Virtually free groups with finitely many outer automorphisms, Trans. Amer. Math. Soc. 349 (1997) 4565 MR1370649
30 Z Sela, Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank 1 Lie groups, II, Geom. Funct. Anal. 7 (1997) 561 MR1466338
31 J Stallings, Group theory and three-dimensional manifolds, 4, Yale Univ. Press (1971) MR0415622
32 W P Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982) 357 MR0648524
33 D T Wise, The structure of groups with a quasiconvex hierarchy, 209, Princeton Univ. Press (2021) MR4298722