Geometry & Topology Volume 13, issue 3 (2009)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Author Index

To Appear

Other MSP Journals

Infinite groups with fixed point properties

Goulnara Arzhantseva, Martin R Bridson, Tadeusz Januszkiewicz, Ian J Leary, Ashot Minasyan and Jacek Światkowski

Geometry & Topology 13 (2009) 1229–1263

DOI: 10.2140/gt.2009.13.1229

Bibliography

1	G Arzhantseva, A Minasyan, D Osin, The SQ-universality and residual properties of relatively hyperbolic groups, J. Algebra 315 (2007) 165 MR2344339
2	A K Barnhill, The $\mathrm{FA}_n$ conjecture for Coxeter groups, Algebr. Geom. Topol. 6 (2006) 2117 MR2263060
3	G E Bredon, Introduction to compact transformation groups, Pure and Applied Math. 46, Academic Press (1972) MR0413144
4	M R Bridson, A Haefliger, Metric spaces of non-positive curvature, Grund. der Math. Wissenschaften 319, Springer (1999) MR1744486
5	M R Bridson, K Vogtmann, Actions of automorphism groups of free groups on homology spheres and acyclic manifolds arXiv:0803.2062
6	K S Brown, R Geoghegan, An infinite-dimensional torsion-free $\mathrm{FP}_{\infty }$ group, Invent. Math. 77 (1984) 367 MR752825
7	I L Chatterji, M Kassabov, New examples of finitely presented groups with strong fixed point properties arXiv:0809.3719
8	B Farb, Group actions and Helly's theorem arXiv:0806.1692
9	D Fisher, L Silberman, Groups not acting on manifolds, Int. Math. Res. Not. (2008) MR2435750
10	A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
11	G Higman, Finitely presented infinite simple groups, Notes on Pure Math. 8, Dept. of Math., IAS Australian Nat. Univ., Canberra (1974) MR0376874
12	T Januszkiewicz, J Światkowski, Hyperbolic Coxeter groups of large dimension, Comment. Math. Helv. 78 (2003) 555 MR1998394
13	T Januszkiewicz, J Światkowski, Simplicial nonpositive curvature, Publ. Math. Inst. Hautes Études Sci. (2006) 1 MR2264834
14	T Januszkiewicz, J Światkowski, Filling invariants of systolic complexes and groups, Geom. Topol. 11 (2007) 727 MR2302501
15	P H Kropholler, On groups of type $(\mathrm{FP})_\infty$, J. Pure Appl. Algebra 90 (1993) 55 MR1246274
16	I J Leary, On finite subgroups of groups of type VF, Geom. Topol. 9 (2005) 1953 MR2175161
17	R C Lyndon, P E Schupp, Combinatorial group theory, Ergebnisse der Math. und ihrer Grenzgebiete 89, Springer (1977) MR0577064
18	L N Mann, J C Su, Actions of elementary $p$–groups on manifolds, Trans. Amer. Math. Soc. 106 (1963) 115 MR0143840
19	A Minasyan, On residualizing homomorphisms preserving quasiconvexity, Comm. Algebra 33 (2005) 2423 MR2153233
20	A Y Ol′shanskiĭ, On residualing homomorphisms and $G$–subgroups of hyperbolic groups, Internat. J. Algebra Comput. 3 (1993) 365 MR1250244
21	D Osajda, Connectedness at infinity of systolic complexes and groups, Groups Geom. Dyn. 1 (2007) 183 MR2319456
22	D Osajda, Ideal boundary of $7$–systolic complexes and groups, Algebr. Geom. Topol. 8 (2008) 81 MR2377278
23	D V Osin, Weakly amenable groups, from: "Computational and statistical group theory (Las Vegas, NV/Hoboken, NJ, 2001)" (editors R Gilman, V Shpilrain, A G Myasnikov), Contemp. Math. 298, Amer. Math. Soc. (2002) 105 MR1929719
24	D V Osin, Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems, Mem. Amer. Math. Soc. 179, 843 (2006) MR2182268
25	A Robert, Introduction to the representation theory of compact and locally compact groups, London Math. Soc. Lecture Note Ser. 80, Cambridge Univ. Press (1983) MR690955
26	C E Röver, Constructing finitely presented simple groups that contain Grigorchuk groups, J. Algebra 220 (1999) 284 MR1714140
27	P A Smith, Permutable periodic transformations, Proc. Nat. Acad. Sci. U. S. A. 30 (1944) 105 MR0010278
28	R J Thompson, Embeddings into finitely generated simple groups which preserve the word problem, from: "Word problems, II (Conf. on Decision Problems in Algebra, Oxford, 1976)" (editors S I Adian, W W Boone, G Higman), Stud. Logic Foundations Math. 95, North-Holland (1980) 401 MR579955
29	S Weinberger, Some remarks inspired by the $C^0$ Zimmer program, Preprint (2008)