1 |
U Abresch, V
Schroeder, Graph
manifolds, ends of negatively curved spaces and the hyperbolic
120–cell space, J. Differential Geom. 35 (1992) 299
MR1158338 |
2 |
D J Allcock,
S M Gersten, A homological
characterization of hyperbolic groups, Invent. Math.
135 (1999) 723 MR1669272 |
3 |
J M Alonso, e
al., Notes on word hyperbolic groups, from: "Group
theory from a geometrical viewpoint (Trieste, 1990)", World
Sci. Publ., River Edge, NJ (1991) 3 MR1170363 |
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 |
M Bestvina, G
Mess, The
boundary of negatively curved groups, J. Amer. Math.
Soc. 4 (1991) 469 MR1096169 |
7 |
F Bonahon, Geodesic
currents on negatively curved groups, from: "Arboreal group
theory (Berkeley, CA, 1988)", Math. Sci. Res. Inst. Publ. 19,
Springer (1991) 143 MR1105332 |
8 |
F Bonahon, Bouts des variétés
hyperboliques de dimension 3, Ann. of Math. $(2)$ 124
(1986) 71 MR847953 |
9 |
F Bonahon, J P
Otal, Variétés
hyperboliques à géodésiques arbitrairement courtes,
Bull. London Math. Soc. 20 (1988) 255 MR931188 |
10 |
B H Bowditch,
Connectedness
properties of limit sets, Trans. Amer. Math. Soc. 351
(1999) 3673 MR1624089 |
11 |
B H Bowditch,
Convergence groups and configuration spaces, from:
"Geometric group theory down under (Canberra, 1996)", de
Gruyter (1999) 23 MR1714838 |
12 |
B H Bowditch,
Treelike structures arising from continua and convergence
groups, Mem. Amer. Math. Soc. 139 (1999) MR1483830 |
13 |
B H Bowditch,
G Mess, A
4–dimensional Kleinian group, Trans. Amer. Math. Soc.
344 (1994) 391 MR1240944 |
14 |
B H Bowditch,
G A Swarup, Cut points in the boundaries of
hyperbolic groups, preprint |
15 |
N Brady, Branched
coverings of cubical complexes and subgroups of hyperbolic
groups, J. London Math. Soc. $(2)$ 60 (1999) 461
MR1724853 |
16 |
M R Bridson,
Fractional
isoperimetric inequalities and subgroup distortion, J.
Amer. Math. Soc. 12 (1999) 1103 MR1678924 |
17 |
M R Bridson,
Optimal
isoperimetric inequalities for abelian-by-free groups,
Topology 34 (1995) 547 MR1341808 |
18 |
M R Bridson,
S M Gersten, The optimal
isoperimetric inequality for torus bundles over the
circle, Quart. J. Math. Oxford Ser. $(2)$ 47 (1996) 1
MR1380947 |
19 |
R D Canary,
Ends of
hyperbolic 3–manifolds, J. Amer. Math. Soc. 6 (1993) 1
MR1166330 |
20 |
J W Cannon,
W P Thurston, Group invariant
Peano curves, Geom. Topol. 11 (2007) 1315 MR2326947 |
21 |
M Coornaert, T
Delzant, A Papadopoulos, Géométrie et théorie des
groupes, Lecture Notes in Mathematics 1441, Springer (1990)
MR1075994 |
22 |
B Farb, The extrinsic
geometry of subgroups and the generalized word problem,
Proc. London Math. Soc. $(3)$ 68 (1994) 577 MR1262309 |
23 |
A Fathi, M
Laudenbach, V Poenaru, Travaux de Thurston sur
les surfaces, Astérisque 66, Société Mathématique de France
(1979) 284 MR568308 |
24 |
W J Floyd,
Group
completions and limit sets of Kleinian groups, Invent.
Math. 57 (1980) 205 MR568933 |
25 |
S Gersten, A
cohomological characterization of hyperbolic groups,
preprint |
26 |
S M Gersten,
Cohomological
lower bounds for isoperimetric functions on groups,
Topology 37 (1998) 1031 MR1650363 |
27 |
S Gersten, Some
remarks on the $l_1$ homology of finitely presented groups,
preprint |
28 |
S M Gersten,
Isoperimetric and isodiametric functions of finite
presentations, from: "Geometric group theory, Vol. 1
(Sussex, 1991)", London Math. Soc. Lecture Note Ser. 181,
Cambridge Univ. Press (1993) 79 MR1238517 |
29 |
S M Gersten,
Preservation
and distortion of area in finitely presented groups,
Geom. Funct. Anal. 6 (1996) 301 MR1384614 |
30 |
S M Gersten,
Subgroups of word hyperbolic groups in dimension 2, J.
London Math. Soc. $(2)$ 54 (1996) 261 MR1405055 |
31 |
, Sur les groupes
hyperboliques d'après Mikhael Gromov, Progress in
Mathematics 83, Birkhäuser (1990) MR1086648 |
32 |
R Gitik, M
Mitra, E Rips, M Sageev, Widths of
subgroups, Trans. Amer. Math. Soc. 350 (1998) 321
MR1389776 |
33 |
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 |
34 |
M Gromov,
Hyperbolic groups, from: "Essays in group theory", Math.
Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829 |
35 |
M Gromov, Sign and geometric
meaning of curvature, Rend. Sem. Mat. Fis. Milano 61
(1991) MR1297501 |
36 |
J G Hocking,
G S Young, Topology, Addison-Wesley
Publishing Co., Reading, MA-London (1961) MR0125557 |
37 |
M Kapovich, L
Potyagailo, On the absence
of Ahlfors' finiteness theorem for Kleinian groups in dimension
three, Topology Appl. 40 (1991) 83 MR1114093 |
38 |
E Klarreich, PhD
thesis, SUNY Stony Brook (1997) |
39 |
A Lubotzky, S
Mozes, M S Raghunathan, Cyclic subgroups of
exponential growth and metrics on discrete groups, C. R.
Acad. Sci. Paris Sér. I Math. 317 (1993) 735 MR1244421 |
40 |
A Marden, The geometry of finitely
generated kleinian groups, Ann. of Math. $(2)$ 99
(1974) 383 MR0349992 |
41 |
G A Margulis,
Discrete subgroups of semisimple Lie groups, Ergebnisse
der Mathematik und ihrer Grenzgebiete (3), Springer (1991)
MR1090825 |
42 |
H A Masur,
Y N Minsky, Geometry of the
complex of curves I: Hyperbolicity, Invent. Math. 138
(1999) 103 MR1714338 |
43 |
C McMullen,
Iteration on
Teichmüller space, Invent. Math. 99 (1990) 425 MR1031909 |
44 |
K A Mihaĭlova,
The occurrence problem for direct products of groups,
Dokl. Akad. Nauk SSSR 119 (1958) 1103 MR0100018 |
45 |
Y N Minsky,
The
classification of punctured-torus groups, Ann. of Math.
$(2)$ 149 (1999) 559 MR1689341 |
46 |
Y N Minsky,
Teichmüller
geodesics and ends of hyperbolic 3–manifolds, Topology
32 (1993) 625 MR1231968 |
47 |
Y N Minsky,
On rigidity,
limit sets, and end invariants of hyperbolic
3–manifolds, J. Amer. Math. Soc. 7 (1994) 539 MR1257060 |
48 |
M Mitra, Cannon–Thurston
maps for hyperbolic group extensions, Topology 37
(1998) 527 MR1604882 |
49 |
M Mitra, Cannon–Thurston
maps for trees of hyperbolic metric spaces, J.
Differential Geom. 48 (1998) 135 MR1622603 |
50 |
M Mitra, Height in splittings of
hyperbolic groups, Proc. Indian Acad. Sci. Math. Sci.
114 (2004) 39 MR2040599 |
51 |
M Mitra, On a theorem
of Scott and Swarup, Proc. Amer. Math. Soc. 127 (1999)
1625 MR1610757 |
52 |
M Mitra, Ending laminations for
hyperbolic group extensions, Geom. Funct. Anal. 7
(1997) 379 MR1445392 |
53 |
L Mosher, A
hyperbolic-by-hyperbolic hyperbolic group, Proc. Amer.
Math. Soc. 125 (1997) 3447 MR1443845 |
54 |
L Mosher, Hyperbolic
extensions of groups, J. Pure Appl. Algebra 110 (1996)
305 MR1393118 |
55 |
L Potyagaĭlo,
Finitely
generated Kleinian groups in 3–space and 3–manifolds of
infinite homotopy type, Trans. Amer. Math. Soc. 344
(1994) 57 MR1250823 |
56 |
E Rips, Subgroups of small
cancellation groups, Bull. London Math. Soc. 14 (1982)
45 MR642423 |
57 |
E Rips, Z Sela,
Structure and
rigidity in hyperbolic groups I, Geom. Funct. Anal. 4
(1994) 337 MR1274119 |
58 |
G P Scott,
G A Swarup, Geometric finiteness of
certain Kleinian groups, Proc. Amer. Math. Soc. 109
(1990) 765 MR1013981 |
59 |
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 |
60 |
G A Swarup,
On
the cut point conjecture, Electron. Res. Announc. Amer.
Math. Soc. 2 (1996) 98 MR1412948 |
61 |
W P Thurston,
The geometry and topology of 3–manifolds, Princeton
University notes |
62 |
W P Thurston,
Hyperbolic structures on 3–manifolds II: surface groups and
3–manifolds which fiber over the circle, preprint |