Volume 10, issue 3 (2010)

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

Volume 20
Issue 4, 1601–2143
Issue 3, 1073–1600
Issue 2, 531–1072
Issue 1, 1–529

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
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Relative hyperbolicity and relative quasiconvexity for countable groups

G Christopher Hruska

Algebraic & Geometric Topology 10 (2010) 1807–1856
Bibliography
1 I Agol, D Groves, J F Manning, Residual finiteness, QCERF and fillings of hyperbolic groups, Geom. Topol. 13 (2009) 1043 MR2470970
2 B N Apanasov, Geometrically finite hyperbolic structures on manifolds, Ann. Global Anal. Geom. 1 (1983) 1 MR739901
3 A F Beardon, B Maskit, Limit points of Kleinian groups and finite sided fundamental polyhedra, Acta Math. 132 (1974) 1 MR0333164
4 B H Bowditch, Geometrical finiteness for hyperbolic groups, J. Funct. Anal. 113 (1993) 245 MR1218098
5 B H Bowditch, Geometrical finiteness with variable negative curvature, Duke Math. J. 77 (1995) 229 MR1317633
6 B H Bowditch, A topological characterisation of hyperbolic groups, J. Amer. Math. Soc. 11 (1998) 643 MR1602069
7 B H Bowditch, Relatively hyperbolic groups, Preprint, University of Southampton (1999)
8 S G Brick, On Dehn functions and products of groups, Trans. Amer. Math. Soc. 335 (1993) 369 MR1102884
9 M R Bridson, A Haefliger, Metric spaces of non-positive curvature, 319, Springer (1999) MR1744486
10 J W Cannon, D Cooper, A characterization of cocompact hyperbolic and finite-volume hyperbolic groups in dimension three, Trans. Amer. Math. Soc. 330 (1992) 419 MR1036000
11 F Dahmani, Combination of convergence groups, Geom. Topol. 7 (2003) 933 MR2026551
12 F Dahmani, Les groupes relativement hyperboliques et leurs bords, Thèse, l’Université Louis Pasteur (Strasbourg I), Prépublication de l’Institut de Recherche Mathématique Avancée, 2003/13 (2003) MR2105643
13 C Drutu, M Sapir, Tree-graded spaces and asymptotic cones of groups, Topology 44 (2005) 959 MR2153979
14 V Efromovich, On proximity geometry of Riemannian manifolds, Amer. Math. Soc. Transl. (2) 39 (1964) 167
15 B Farb, Relatively hyperbolic groups, Geom. Funct. Anal. 8 (1998) 810 MR1650094
16 E M Freden, Negatively curved groups have the convergence property. I, Ann. Acad. Sci. Fenn. Ser. A I Math. 20 (1995) 333 MR1346817
17 H Garland, M S Raghunathan, Fundamental domains for lattices in ()–rank 1 semisimple Lie groups, Ann. of Math. (2) 92 (1970) 279 MR0267041
18 F W Gehring, G J Martin, Discrete quasiconformal groups. I, Proc. London Math. Soc. (3) 55 (1987) 331 MR896224
19 M Gromov, Hyperbolic groups, from: "Essays in group theory" (editor S M Gersten), Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
20 D Groves, J F Manning, Dehn filling in relatively hyperbolic groups, Israel J. Math. 168 (2008) 317 MR2448064
21 V S Guba, M V Sapir, On Dehn functions of free products of groups, Proc. Amer. Math. Soc. 127 (1999) 1885 MR1469408
22 G C Hruska, Geometric invariants of spaces with isolated flats, Topology 44 (2005) 441 MR2114956
23 A Lubotzky, Lattices in rank one Lie groups over local fields, Geom. Funct. Anal. 1 (1991) 406 MR1132296
24 J F Manning, E Martínez-Pedroza, Separation of relatively quasiconvex subgroups, Pacific J. Math. 244 (2010) 309 MR2587434
25 E Martínez-Pedroza, A note on quasiconvexity and relative hyperbolic structures arXiv:0811.2384
26 E Martínez-Pedroza, Combination of quasiconvex subgroups of relatively hyperbolic groups, Groups Geom. Dyn. 3 (2009) 317 MR2486802
27 D V Osin, Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems, Mem. Amer. Math. Soc. 179 (2006) MR2182268
28 D V Osin, Peripheral fillings of relatively hyperbolic groups, Invent. Math. 167 (2007) 295 MR2270456
29 D Y Rebbechi, Algorithmic properties of relatively hyperbolic groups, PhD thesis, Rutgers University (2001) arXiv:math.GR/0302245
30 H Short, Quasiconvexity and a theorem of Howson’s, from: "Group theory from a geometrical viewpoint (Trieste, 1990)" (editors É Ghys, A Haefliger), World Sci. Publ. (1991) 168 MR1170365
31 P Susskind, G A Swarup, Limit sets of geometrically finite hyperbolic groups, Amer. J. Math. 114 (1992) 233 MR1156565
32 W P Thurston, The geometry and topology of three-manifolds, Princeton Univ. Math. Dept. Lecture Notes (1979)
33 W P Thurston, Three-dimensional geometry and topology. Vol. 1, (S Levy, editor), 35, Princeton Univ. Press (1997) MR1435975
34 P Tukia, Convergence groups and Gromov’s metric hyperbolic spaces, New Zealand J. Math. 23 (1994) 157 MR1313451
35 P Tukia, Conical limit points and uniform convergence groups, J. Reine Angew. Math. 501 (1998) 71 MR1637829
36 A Yaman, A topological characterisation of relatively hyperbolic groups, J. Reine Angew. Math. 566 (2004) 41 MR2039323