Asymptotic dimension of relatively hyperbolic groups

International Mathematics Research Notices

Volumn , Issue 35, 2005, Pages 2143-2161

  Osin, D ^a,b  

^a VANDERBILT UNIVERSITY   (United States)

^b NONE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 28444485690     PISSN: 10737928     EISSN: 16870247     Source Type: Journal    
DOI: 10.1155/imrn.2005.2143     Document Type: Review

References (20)

1. G. Bell and A. Dranishnikov, On asymptotic dimension of groups, Algebr. Geom. Topol. 1 (2001), 57-71.
2. _, On asymptotic dimension of groups acting on trees, Geom. Dedicata 103 (2004), 89-101.
3. _, A Hurewicz-type theorem for asymptotic dimension and applications to geometric group theory, preprint, 2004, http://www.arxiv.org/abs/math.GR/ 0407431.
4. B. H. Bowditch, Relatively hyperbolic groups, preprint, 1999.
5. M. R. Bridson and A. Haefliger, Metric Spaces of Non-Positive Curvature, Grundlehren der mathematischen Wissenschaften, vol. 319, Springer, Berlin, 1999.
6. G. Carlsson and B. Goldfarb, The integral K-theoretic Novikov conjecture for groups with finite asymptotic dimension, Invent. Math. 157 (2004), no. 2, 405-418.
7. F. Dahmani, Combination of convergence groups, Geom. Topol. 7 (2003), 933-963.
8. F. Dahmani and A. Yaman, Bounded geometry in relatively hyperbolic groups, preprint, 2004.
9. A. N. Dranishnikov, On hypersphericity of manifolds with finite asymptotic dimension, Trans. Amer. Math. Soc. 355 (2003), no. 1, 155-167.
10. C. Drutu and M. V. Sapir, Tree graded spaces and asymptotic cones, preprint, 2004, http://www.arxiv.org/abs/math.GT/0405030.
11. B. Farb, Relatively hyperbolic groups, Geom. Funct. Anal. 8 (1998), no. 5, 810-840.
12. E. Ghys and P. de la Harpe (eds.), Sur les Groupes Hyperboliques d'après Mikhael Gromov, Progress in Mathematics, vol. 83, Birkhäuser Boston, Massachusetts, 1990.
13. M. Gromov, Hyperbolic groups, Essays in Group Theory (S. M. Gersten, ed.), Math. Sci. Res. Inst. Publ., vol. 8, Springer, New York, 1987, pp. 75-263.
14. R. C. Lyndon and P. E. Schupp, Combinatorial Group Theory, Springer, Berlin, 1977.
15. D. V. Osin, Weak hyperbolicity and free constructions, Group Theory, Statistics, and Cryptography, Contemp. Math., vol. 360, American Mathematical Society, Rhode Island, 2004, pp. 103-111.
16. _, Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems, to appear in Memoirs of Amer. Math. Soc.
17. J. Roe, Lectures on Coarse Geometry, University Lecture Series, vol. 31, American Mathematical Society, Rhode Island, 2003.
18. A. Yaman, A topological characterisation of relatively hyperbolic groups, J. reine angew. Math. 566 (2004), 41-89.
19. G. Yu, Zero-in-the-spectrum conjecture, positive scalar curvature and asymptotic dimension, Invent. Math. 127 (1997), no. 1, 99-126.
20. _, The Novikov conjecture for groups with finite asymptotic dimension, Ann. of Math. (2) 147 (1998), no. 2, 325-355.