Volume 15, issue 6 (2015)

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

Volume 24
Issue 9, 4731–5219
Issue 8, 4139–4730
Issue 7, 3571–4137
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

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
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
McCool groups of toral relatively hyperbolic groups

Vincent Guirardel and Gilbert Levitt

Algebraic & Geometric Topology 15 (2015) 3485–3534
Bibliography
1 E Alibegović, Translation lengths in $\mathrm{Out}(F_n)$, Geom. Dedicata 92 (2002) 87 MR1934012
2 Y Antolin, A Minasyan, A Sisto, Commensurating endomorphisms of acylindrically hyperbolic groups and applications, preprint (2013) arXiv:1310.8605
3 M Bestvina, M Feighn, Bounding the complexity of simplicial group actions on trees, Invent. Math. 103 (1991) 449 MR1091614
4 M Bestvina, M Feighn, Outer limits, preprint (1992)
5 M Bestvina, M Feighn, M Handel, Solvable subgroups of $\mathrm{Out}(F_n)$ are virtually abelian, Geom. Dedicata 104 (2004) 71 MR2043955
6 A Borel, Density and maximality of arithmetic subgroups, J. Reine Angew. Math. 224 (1966) 78 MR0205999
7 A Borel, J P Serre, Corners and arithmetic groups, Comment. Math. Helv. 48 (1973) 436 MR0387495
8 K S Brown, Cohomology of groups, Graduate Texts in Mathematics 87, Springer (1982) MR672956
9 M Culler, K Vogtmann, Moduli of graphs and automorphisms of free groups, Invent. Math. 84 (1986) 91 MR830040
10 F Dahmani, Classifying spaces and boundaries for relatively hyperbolic groups, Proc. London Math. Soc. 86 (2003) 666 MR1974394
11 F Dahmani, D Groves, The isomorphism problem for toral relatively hyperbolic groups, Publ. Math. Inst. Hautes Études Sci. (2008) 211 MR2434694
12 F Dahmani, V Guirardel, The isomorphism problem for all hyperbolic groups, Geom. Funct. Anal. 21 (2011) 223 MR2795509
13 B Farb, D Margalit, A primer on mapping class groups, Princeton Mathematical Series 49, Princeton Univ. Press (2012) MR2850125
14 M Forester, Deformation and rigidity of simplicial group actions on trees, Geom. Topol. 6 (2002) 219 MR1914569
15 R Geoghegan, Topological methods in group theory, Graduate Texts in Mathematics 243, Springer (2008) MR2365352
16 V Guirardel, Actions of finitely generated groups on $\mathbb{R}$–trees, Ann. Inst. Fourier (Grenoble) 58 (2008) 159 MR2401220
17 V Guirardel, G Levitt, Extension finiteness for relatively hyperbolic groups, in preparation
18 V Guirardel, G Levitt, Strata and canonical subtrees of $\mathbb R$–trees, in preparation
19 V Guirardel, G Levitt, Deformation spaces of trees, Groups Geom. Dyn. 1 (2007) 135 MR2319455
20 V Guirardel, G Levitt, The outer space of a free product, Proc. Lond. Math. Soc. 94 (2007) 695 MR2325317
21 V Guirardel, G Levitt, JSJ decompositions: definitions, existence, uniqueness, I: The JSJ deformation space, preprint (2009) arXiv:0911.3173
22 V Guirardel, G Levitt, JSJ decompositions: definitions, existence, uniqueness, II: Compatibility and acylindricity, preprint (2010) arXiv:1002.4564
23 V Guirardel, G Levitt, Trees of cylinders and canonical splittings, Geom. Topol. 15 (2011) 977 MR2821568
24 V Guirardel, G Levitt, Vertex finiteness for splittings of relatively hyperbolic groups, preprint (2013) arXiv:1311.2835
25 V Guirardel, G Levitt, Splittings and automorphisms of relatively hyperbolic groups, Groups Geom. Dyn. 9 (2015) 599 MR3356977
26 M Handel, L Mosher, Subgroup decomposition in $\mathrm{Out}(F_n)$: introduction and research announcement, preprint (2013) arXiv:1302.2681
27 G Levitt, Automorphisms of hyperbolic groups and graphs of groups, Geom. Dedicata 114 (2005) 49 MR2174093
28 G Levitt, Characterizing rigid simplicial actions on trees, from: "Geometric methods in group theory" (editors J Burillo, S Cleary, M Elder, J Taback, E Ventura), Contemp. Math. 372, Amer. Math. Soc. (2005) 27 MR2139674
29 A Martino, E Ventura, Fixed subgroups are compressed in free groups, Comm. Algebra 32 (2004) 3921 MR2097438
30 J McCool, Some finitely presented subgroups of the automorphism group of a free group, J. Algebra 35 (1975) 205 MR0396764
31 A Minasyan, D Osin, Normal automorphisms of relatively hyperbolic groups, Trans. Amer. Math. Soc. 362 (2010) 6079 MR2661509
32 D Segal, Polycyclic groups, Cambridge Tracts in Mathematics 82, Cambridge Univ. Press (1983) MR713786
33 Z Sela, Acylindrical accessibility for groups, Invent. Math. 129 (1997) 527 MR1465334
34 B Szepietowski, A presentation for the mapping class group of a non-orientable surface from the action on the complex of curves, Osaka J. Math. 45 (2008) 283 MR2441942