Volume 7, issue 2 (2003)

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Combination of convergence groups

Francois Dahmani

Geometry & Topology 7 (2003) 933–963
Bibliography
1 A F Beardon, B Maskit, Limit points of Kleinian groups and finite sided fundamental polyhedra, Acta Math. 132 (1974) 1 MR0333164
2 M Bestvina, Local homology properties of boundaries of groups, Michigan Math. J. 43 (1996) 123 MR1381603
3 M Bestvina, M Feighn, A combination theorem for negatively curved groups, J. Differential Geom. 35 (1992) 85 MR1152226
4 M Bestvina, M Feighn, Addendum and correction to: “A combination theorem for negatively curved groups”, J. Differential Geom. 43 (1996) 783 MR1412684
5 B H Bowditch, Geometrical finiteness with variable negative curvature, Duke Math. J. 77 (1995) 229 MR1317633
6 B H Bowditch, Convergence groups and configuration spaces, from: "Geometric group theory down under (Canberra, 1996)", de Gruyter (1999) 23 MR1714838
7 B H Bowditch, A topological characterisation of hyperbolic groups, J. Amer. Math. Soc. 11 (1998) 643 MR1602069
8 B H Bowditch, Relatively hyperbolic groups, preprint, Southampton, (1999)
9 F Dahmani, Classifying spaces and boundaries for relatively hyperbolic groups, Proc. London Math. Soc. $(3)$ 86 (2003) 666 MR1974394
10 F Dahmani, Les groupes relativement hyperboliques et leurs bords, Prépublication de l'Institut de Recherche Mathématique Avancée 2003/13, Université Louis Pasteur Département de Mathématique Institut de Recherche Mathématique Avancée (2003) MR2105643
11 B Farb, Relatively hyperbolic groups, Geom. Funct. Anal. 8 (1998) 810 MR1650094
12 F W Gehring, G J Martin, Discrete quasiconformal groups I, Proc. London Math. Soc. $(3)$ 55 (1987) 331 MR896224
13 R Gitik, On the combination theorem for negatively curved groups, Internat. J. Algebra Comput. 7 (1997) 267 MR1433198
14 M Gromov, Hyperbolic groups, from: "Essays in group theory", Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
15 M Gromov, Asymptotic invariants of infinite groups, from: "Geometric group theory, Vol. 2 (Sussex, 1991)", London Math. Soc. Lecture Note Ser. 182, Cambridge Univ. Press (1993) 1 MR1253544
16 W Hurewicz, H Wallman, Dimension Theory, Princeton Mathematical Series, v. 4, Princeton University Press (1941) MR0006493
17 I Kapovich, Quasiconvexity and amalgams, Internat. J. Algebra Comput. 7 (1997) 771 MR1482968
18 I Kapovich, The combination theorem and quasiconvexity, Internat. J. Algebra Comput. 11 (2001) 185 MR1829050
19 I Kapovich, Subgroup properties of fully residually free groups, Trans. Amer. Math. Soc. 354 (2002) 335 MR1859278
20 I Kapovich, Erratum to: “Subgroup properties of fully residually free groups”, Trans. Amer. Math. Soc. 355 (2003) 1295 MR1938758
21 O Kharlampovich, A Myasnikov, Hyperbolic groups and free constructions, Trans. Amer. Math. Soc. 350 (1998) 571 MR1390041
22 O Kharlampovich, A Myasnikov, Irreducible affine varieties over a free group I: Irreducibility of quadratic equations and Nullstellensatz, J. Algebra 200 (1998) 472 MR1610660
23 Z Sela, Acylindrical accessibility for groups, Invent. Math. 129 (1997) 527 MR1465334
24 Z Sela, Diophantine geometry over groups I: Makanin–Razborov diagrams, Publ. Math. Inst. Hautes Études Sci. (2001) 31 MR1863735
25 Z Sela, Diophantine Geometry over Groups: A list of Research Problems
26 H Short, Quasiconvexity and a theorem of Howson's, from: "Group theory from a geometrical viewpoint (Trieste, 1990)", World Sci. Publ., River Edge, NJ (1991) 168 MR1170365
27 P Susskind, G A Swarup, Limit sets of geometrically finite hyperbolic groups, Amer. J. Math. 114 (1992) 233 MR1156565
28 G A Swarup, Proof of a weak hyperbolization theorem, Q. J. Math. 51 (2000) 529 MR1806457
29 A Szczepański, Relatively hyperbolic groups, Michigan Math. J. 45 (1998) 611 MR1653287
30 P Tukia, Generalizations of Fuchsian and Kleinian groups, from: "First European Congress of Mathematics, Vol. II (Paris, 1992)", Progr. Math. 120, Birkhäuser (1994) 447 MR1341855
31 P Tukia, Conical limit points and uniform convergence groups, J. Reine Angew. Math. 501 (1998) 71 MR1637829
32 A Yaman, A topological characterisation of relatively hyperbolic groups, J. Reine Angew. Math. 566 (2004) 41 MR2039323