Volume 13, issue 3 (2009)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 28
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
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
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)