Acylindrical accessibility for groups

Inventiones Mathematicae

Volumn 129, Issue 3, 1997, Pages 527-565

  Sela, Z ^a,b  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b Columbia University ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031533728     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050172     Document Type: Article

References (27)

1. W. Ballman, M. Gromov, V. Schroeder: Manifolds of Non-Positive curvature, Birkhauser 1985
2. J. Barge, E. Ghys: Cocycles bornes et actions de groupes sur les arbres reels, Group theory from a geometrical viewpoint, World Scientific, 617-622 (1992)
3. M. Bestvina: Degeneration of the hyperbolic space, Duke Math. Journal 56, 143-161 (1988)
4. M. Bestvina, M. Feighn: Bounding the complexity of simplicial group actions, Invent. Math. 103, 449-469 (1991)
5. M. Bestvina, M. Feighn: Stable actions of groups on real trees, Invent. Math. 121, 287-321 (1995)
6. M. Bestvina, M. Feighn: A counterexample to generalized accessibility, Arboreal Group Theory (R.C. Alperin ed.), MSRI publications no. 19, Springer-Verlag, 133-142 (1991)
7. M. Culler, P. Shalen: Varieties of group representations and splittings of 3-manifolds, Ann. Math. 117, 109-146 (1983)
8. M. Dunwoody: The accessibility of finitely presented groups. Invent. Math. 81, 449-457 (1985)
9. M. Dunwoody: An inaccessible group, Geometric group theory (G. Niblo and M. Roller ed.), Cambridge University Press, 75-78 (1993)
10. M. Gromov: Hyperbolic groups, Essays in group theory (S. M. Gersten ed.), MSRI publications no. 5, Springer-Verlag, 75-263 (1987)
11. J. Hass: Acylindrical surfaces in 3-manifolds, Mich. Math. J 42, 357-365 (1995)
12. W. Jaco, P. Shalen: Seifert fibered spaces in 3-manifolds, Memoirs of the AMS 220 (1979)
13. K. Johannson: Homotopy equivalences of 3-manifolds with boundaries, Lecture Notes in Math. no. 761, Springer-Verlag, 1978
14. M. Keane: Interval exchange transformations, Math. Z. 141, 25-31 (1975)
15. G. Levitt: Le dynamique des pseudogroupes de rotations, Invent. Math. 113, 633-670 (1993)
16. R. Lyndon, P. Schupp: Combinatorial Group Theory, Springer-Verlag 1976
17. J. Morgan: Ergodic theory and free actions of groups on R-trees, Invent. Math. 94, 605-622 (1988)
18. F. Paulin: Outer automorphisms of hyperbolic groups and small actions on R-trees, Arboreal group theory (R. C. Alperin ed.), MSRI publications no.19, Springer-Verlag, 331-341 (1991)
19. E. Rips: Group actions on R-trees, in preparation
20. E. Rips, Z. Sela: Structure and rigidity in hyperbolic groups I, GAFA 4, 337-371 (1994)
21. E. Rips, Z. Sela: Cyclic splittings of finitely presented groups and the canonical JSJ decomposition, Ann. Math., to appear
22. Z. Sela: Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank I Lie groups II, GAFA, to appear
23. Z. Sela: Endomorphisms of hyperbolic groups I: The Hopf property, preprint
24. Z. Sela: Moduli spaces of residually free groups, in preparation
25. J. Stallings: Group theory and three dimensional topology, Yale math, monographs, Yale university press 1971
26. J. Stallings: Topology of finite graphs, Invent. math. 71, 551-565 (1983)
27. H. Zieschang, E. Vogt, H. Coldeway Surfaces and Planar Discontinuous Groups, Lecture Notes in Math. no. 835, Springer-Verlag 1980