Algebraic & Geometric Topology Volume 8, issue 3 (2008)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

Actions of certain arithmetic groups on Gromov hyperbolic spaces

Jason Fox Manning

Algebraic & Geometric Topology 8 (2008) 1371–1402

DOI: 10.2140/agt.2008.8.1371

Bibliography

1	E Abe, Chevalley groups over local rings, Tôhoku Math. J. $(2)$ 21 (1969) 474 MR0258837
2	M Bestvina, K Fujiwara, Bounded cohomology of subgroups of mapping class groups, Geom. Topol. 6 (2002) 69 MR1914565
3	M R Bridson, A Haefliger, Metric spaces of non-positive curvature, Grundlehren series 319, Springer (1999) MR1744486
4	M Burger, N Monod, Continuous bounded cohomology and applications to rigidity theory, Geom. Funct. Anal. 12 (2002) 219 MR1911660
5	D Carter, G Keller, Bounded elementary generation of $\mathrm{SL}_{n}(\mathcal{O})$, Amer. J. Math. 105 (1983) 673 MR704220
6	R W Carter, Simple groups of Lie type, Pure and Applied Math. 28, John Wiley & Sons (1972) MR0407163
7	C Chevalley, Sur certains groupes simples, Tôhoku Math. J. $(2)$ 7 (1955) 14 MR0073602
8	M Coornaert, T Delzant, A Papadopoulos, Géométrie et théorie des groupes: Les groupes hyperboliques de Gromov, Lecture Notes in Math. 1441, Springer (1990) MR1075994
9	K Fujiwara, The second bounded cohomology of a group acting on a Gromov-hyperbolic space, Proc. London Math. Soc. $(3)$ 76 (1998) 70 MR1476898
10	M Fukunaga, Fixed points of elementary subgroups of Chevalley groups acting on trees, Tsukuba J. Math. 3 (1979) 7 MR561842
11	T Gelander, A Karlsson, G A Margulis, Superrigidity, generalized harmonic maps and uniformly convex spaces, Geom. Funct. Anal. 17 (2008) 1524 MR2377496
12	M Gromov, Hyperbolic groups, from: "Essays in group theory", Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
13	D Groves, J F Manning, Dehn filling in relatively hyperbolic groups, to appear in Israel J. Math. arXiv:math/0601311v3
14	J E Humphreys, Introduction to Lie algebras and representation theory, Graduate Texts in Math. 9, Springer (1978) MR499562
15	A Karlsson, G A Noskov, Some groups having only elementary actions on metric spaces with hyperbolic boundaries, Geom. Dedicata 104 (2004) 119 MR2043957
16	D Kotschick, Quasi-homomorphisms and stable lengths in mapping class groups, Proc. Amer. Math. Soc. 132 (2004) 3167 MR2073290
17	J F Manning, Geometry of pseudocharacters, Geom. Topol. 9 (2005) 1147 MR2174263
18	J F Manning, Quasi-actions on trees and property (QFA), J. London Math. Soc. $(2)$ 73 (2006) 84 MR2197372
19	H Matsumoto, Sur les sous-groupes arithmétiques des groupes semi-simples déployés, Ann. Sci. École Norm. Sup. $(4)$ 2 (1969) 1 MR0240214
20	N Monod, Superrigidity for irreducible lattices and geometric splitting, J. Amer. Math. Soc. 19 (2006) 781 MR2219304
21	N Monod, Y Shalom, Cocycle superrigidity and bounded cohomology for negatively curved spaces, J. Differential Geom. 67 (2004) 395 MR2153026
22	D W Morris, Bounded generation of $\mathrm{SL}(n,A)$ (after D Carter, G Keller, and E Paige), New York J. Math. 13 (2007) 383 MR2357719
23	L Mosher, M Sageev, K Whyte, Quasi-actions on trees. I. Bounded valence, Ann. of Math. $(2)$ 158 (2003) 115 MR1998479
24	J P Serre, Trees, Springer Monographs in Math., Springer (2003) MR1954121
25	P B Shalen, Representations of $3$–manifold groups, from: "Handbook of geometric topology", North-Holland (2002) 955 MR1886685
26	M R Stein, Generators, relations and coverings of Chevalley groups over commutative rings, Amer. J. Math. 93 (1971) 965 MR0322073
27	R Steinberg, Lectures on Chevalley groups. Notes prepared by J Faulkner and R Wilson (1968)
28	I Stewart, D Tall, Algebraic number theory and Fermat's last theorem, A K Peters Ltd. (2002) MR1876804
29	O I Tavgen’, Bounded generability of Chevalley groups over rings of $S$-integer algebraic numbers, Izv. Akad. Nauk SSSR Ser. Mat. 54 (1990) 97, 221 MR1044049