Geometry & Topology Volume 9, issue 4 (2005)

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

Representations of polygons of finite groups

Michael Kapovich

Geometry & Topology 9 (2005) 1915–1951

DOI: 10.2140/gt.2005.9.1915

Bibliography

1	W Ballmann, J Świątkowski, On $L^2$–cohomology and property (T) for automorphism groups of polyhedral cell complexes, Geom. Funct. Anal. 7 (1997) 615 MR1465598
2	A F Beardon, The geometry of discrete groups, Graduate Texts in Mathematics 91, Springer (1983) MR698777
3	M Bonk, O Schramm, Embeddings of Gromov hyperbolic spaces, Geom. Funct. Anal. 10 (2000) 266 MR1771428
4	M Bourdon, Sur la dimension de Hausdorff de l'ensemble limite d'une famille de sous-groupes convexes co-compacts, C. R. Acad. Sci. Paris Sér. I Math. 325 (1997) 1097 MR1614024
5	B H Bowditch, Geometrical finiteness for hyperbolic groups, J. Funct. Anal. 113 (1993) 245 MR1218098
6	B H Bowditch, Geometrical finiteness with variable negative curvature, Duke Math. J. 77 (1995) 229 MR1317633
7	M R Bridson, A Haefliger, Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften 319, Springer (1999) MR1744486
8	J A Carlson, D Toledo, Harmonic mappings of Kähler manifolds to locally symmetric spaces, Inst. Hautes Études Sci. Publ. Math. (1989) 173 MR1019964
9	K Corlette, Archimedean superrigidity and hyperbolic geometry, Ann. of Math. $(2)$ 135 (1992) 165 MR1147961
10	A Felikson, P Tumarkin, A series of word-hyperbolic Coxeter groups arXiv:math.GR/0507389
11	M Gromov, Hyperbolic groups, from: "Essays in group theory", Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
12	M Gromov, R Schoen, Harmonic maps into singular spaces and $p$–adic superrigidity for lattices in groups of rank one, Inst. Hautes Études Sci. Publ. Math. (1992) 165 MR1215595
13	F Haglund, Commensurabilité de résaux uniformes dans les immeubles à angles droits, preprint (2003)
14	F Haglund, D Wise, in preparation
15	T W Hungerford, Algebra, Graduate Texts in Mathematics 73, Springer (1980) MR600654
16	S V Ivanov, A Y Ol’shanskiĭ, Hyperbolic groups and their quotients of bounded exponents, Trans. Amer. Math. Soc. 348 (1996) 2091 MR1327257
17	M Kapovich, Hyperbolic manifolds and discrete groups, Progress in Mathematics 183, Birkhäuser (2001) MR1792613
18	S Lang, Algebraic numbers, Addison-Wesley Publishing Co., Reading, MA-Palo Alto-London (1964) MR0160763
19	G A Margulis, Discrete subgroups of semisimple Lie groups, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), Springer (1991) MR1090825
20	G D Mostow, Y T Siu, A compact Kähler surface of negative curvature not covered by the ball, Ann. of Math. $(2)$ 112 (1980) 321 MR592294
21	M S Raghunathan, Discrete subgroups of Lie groups, Ergebnisse der Mathematik und ihrer Grenzgebiete 68, Springer (1972) MR0507234
22	J Świątkowski, A class of automorphism groups of polygonal complexes, Q. J. Math. 52 (2001) 231 MR1838366
23	J Tits, Free subgroups in linear groups, J. Algebra 20 (1972) 250 MR0286898
24	D T Wise, The residual finiteness of negatively curved polygons of finite groups, Invent. Math. 149 (2002) 579 MR1923477
25	R J Zimmer, Ergodic theory and semisimple groups, Monographs in Mathematics 81, Birkhäuser Verlag (1984) MR776417