Geometry & Topology Volume 12, issue 3 (2008)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

A combination theorem for strong relative hyperbolicity

Mahan Mj and Lawrence Reeves

Geometry & Topology 12 (2008) 1777–1798

DOI: 10.2140/gt.2008.12.1777

Bibliography

1	E Alibegović, A combination theorem for relatively hyperbolic groups, Bull. London Math. Soc. 37 (2005) 459 MR2131400
2	J Behrstock, C Drutu, L Mosher, Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity arXiv:math/0512592
3	M Bestvina, Geometric group theory problem list, available at http://math.utah.edu/ bestvina
4	M Bestvina, M Feighn, A combination theorem for negatively curved groups, J. Differential Geom. 35 (1992) 85 MR1152226
5	M Bestvina, M Feighn, M Handel, Laminations, trees, and irreducible automorphisms of free groups, Geom. Funct. Anal. 7 (1997) 215 MR1445386
6	B H Bowditch, Relatively hyperbolic groups, preprint, Southampton (1997)
7	B H Bowditch, The Cannon–Thurston map for punctured-surface groups, Math. Z. 255 (2007) 35 MR2262721
8	I Bumagin, On definitions of relatively hyperbolic groups, from: "Geometric methods in group theory", Contemp. Math. 372, Amer. Math. Soc. (2005) 189 MR2139687
9	F Dahmani, Combination of convergence groups, Geom. Topol. 7 (2003) 933 MR2026551
10	B Farb, Relatively hyperbolic groups, Geom. Funct. Anal. 8 (1998) 810 MR1650094
11	F. Gautero, Geodesics in trees of hyperbolic and relatively hyperbolic groups arXiv:0710.4079
12	É Ghys, P d l Harpe, editor, Sur les groupes hyperboliques d'après Mikhael Gromov, Progress in Math. 83, Birkhäuser (1990) MR1086648
13	R Gitik, M Mitra, E Rips, M Sageev, Widths of subgroups, Trans. Amer. Math. Soc. 350 (1998) 321 MR1389776
14	M Gromov, Hyperbolic groups, from: "Essays in group theory", Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
15	G Hruska, D Wise, Packing subgroups in relatively hyperbolic groups arXiv:math.GR/0609369
16	M Kapovich, Hyperbolic manifolds and discrete groups, Progress in Math. 183, Birkhäuser (2001) MR1792613
17	E Klarreich, Semiconjugacies between Kleinian group actions on the Riemann sphere, Amer. J. Math. 121 (1999) 1031 MR1713300
18	M Mitra, Maps on boundaries of hyperbolic metric spaces, PhD thesis, UC Berkeley (1997)
19	M Mitra, Cannon–Thurston maps for trees of hyperbolic metric spaces, J. Differential Geom. 48 (1998) 135 MR1622603
20	M Mitra, Height in splittings of hyperbolic groups, Proc. Indian Acad. Sci. Math. Sci. 114 (2004) 39 MR2040599
21	M Mj, Cannon–Thurston maps for pared manifolds of bounded geometry arXiv:math.GT/0503581
22	M Mj, Cannon–Thurston maps for surface groups I: amalgamation geometry and split geometry arXiv:math.GT/0512539
23	M Mj, Cannon–Thurston maps, i-bounded geometry and a theorem of McMullen arXiv:math.GT/0511041
24	M Mj, A Pal, Relative hyperbolicity, trees of spaces and Cannon–Thurston maps arXiv:0708.3578
25	L Mosher, Hyperbolic extensions of groups, J. Pure Appl. Algebra 110 (1996) 305 MR1393118
26	L Mosher, A hyperbolic-by-hyperbolic hyperbolic group, Proc. Amer. Math. Soc. 125 (1997) 3447 MR1443845
27	A Pal, Cannon–Thurston maps and relative hyperbolicity, PhD thesis, Indian Statistical Institute, Calcutta (expected 2009)
28	Z Sela, Diophantine geometry over groups. I. Makanin–Razborov diagrams, Publ. Math. Inst. Hautes Études Sci. (2001) 31 MR1863735
29	G A Swarup, Proof of a weak hyperbolization theorem, Q. J. Math. 51 (2000) 529 MR1806457