Peripheral splittings of groups

Transactions of the American Mathematical Society

Volumn 353, Issue 10, 2001, Pages 4057-4082

  Bowditch, B H ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23044531321     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-01-02835-5     Document Type: Article

References (24)

1. [AN] S A. Adclckc, P.M. Neumann, Relations related to betweenness: their structure and automorphisms, Memoirs Amer. Math. Soc. No. 623, American Mathematical Society, Providence, Rhode Island (1998). MR 98h:20008
2. [BeF] M. Bestvina, M. Feighn, Bounding the complexity of simplicial actions on trees, Invent. Math. 103 (1991) 449-469. MR 92c:20044
3. [BeM] M. Bestvina, G. Mess, The boundary of negatively curved groups, J. Amer. Math. Soc. 4 (1991) 469-481. MR 93j:2007G
4. [Bol] B.H. Bowditch, Geometrical finiteness with variable negative curvature, Duke Math. J. 77 (1995) 229-274. MR 96b:53056
5. [Bo2] B.H. Bowditch, Cut points and canonical splittings of hyperbolic groups, Acta. Math. 180 (1998) 145-186. MR 99b:20069
6. [Bo3] B.H. Bowditch, Treelike structures arising from continua and convergence groups, Memoirs Amer. Math. Soc. No. 662, American Mathematical Society, Providence, Rhode Island (1999). MR 2000c:200Gl
7. [Bo4] B.H. Bowditch, Connectedness properties of limit sets, Trans. Amer. Math. Soc. 351 (1999) 3673-3686. MR 2000d:20056
8. [Bo5] B.H. Bowditch, Relatively hyperbolic groups, preprint, Southampton (1997).
9. [Bo6] B.H .Bowditch, Boundaries of geometrically finite groups, Math. Z. 230 (1999) 509-527. MR 2000b:20049
10. [BoS] B.H. Bowditch, G.A. Swarup, Cut points in the boundaries of hyperbolic groups, in preparation.
11. [DiD] W. Dicks, M.J. Dunwoody, Groups acting on graphs, Cambridge Studies in Advanced Mathematics No. 17, Cambridge University Press (1989). MR 91b:20001
12. [Dul] M.J. Dunwoody, Cutting up graphs, Combinatorica 2 (1982) 15-23. MR 84k:05050
13. [Du2] M.J. Dunwoody, The accessibility of finitely presented groups, Invent. Math. 81 (1985) 449-457. MR 87d:20037
14. [Du3] M.J. Dunwoody, Groups acting on protrees, J. London Math. Soc. 56 (1997) 125-136. MR 98f:20008
15. [Du4] M.J. Dunwoody, Folding sequences, in "The Epstein Birthday Schrift", Geometry and Topology Monographs Volume 1, (ed. I. Rivin, C. Rourke, C. Series), International Press, 139-158. MR 2000f:20037
16. [Gr] M. Gromov, Hyperbolic groups, in "Essays in Group Theory" (S.M. Gersten, ed.) M.S.R.I. Publications No. 8, Springer-Verlag (1987) 75-263. MR 89o:20070
17. [Gu] D.P. Guralnik, Constructing a splitting-tree for a cusp-finite group acting on a Peano continuum (Hebrew) : M.Sc. Dissertation, Technion, Haifa (1998).
18. [H] A. Haefliger, Complexes of groups and orbihedra, in "Group theory from a geometrical viewpoint" (E. Ghys, A. Haefliger, A. Verjovsky, eds.),.World Scientific (1991) 504-540. MR 93m:20048
19. [K] J.L. Kelley, General topology, Graduate Texts in Mathematics, 27 Springer-Verlag, 1975 (reprint of Van Nostrand edition 1955). MR 51:6681
20. [Sh] M. Sholander, Trees, lattices, order and betweenness, Proc. Amer. Math. Soc. 3 (1952) .369-381. MR 14:9b
21. [Swa] G.A. Swarup, On the cut point conjecture, Electron. Res. Announc. Amer. Math. Soc. 2 (1996) 98-100 (Electronic). MR 97f:20048
22. [Swe] E.L. Swenson, A cutpoint tree for a continuum, in "Computational and Geometric Aspects of Modern Algebra", London Math. Soc. Lecture Note Series, No. 275, (M. Atkinson, N. Gilbert, J. Howie, S. Linton, E. Robertson, eds.), Cambridge University Press (2000), 254-265. CMP 2001:01
23. [T] P. Tukia, Conical limit points and uniform convergence groups, J. Reine. Angew. Math. 501 (1998) 71-98. MR 2000b:300G7
24. [W] L.E. Ward, Axioms for cutpoints, in "General Topology and Modern Analysis", Proceedings, University of California, Riverside (L. F.McAuley, M.M. Rao, eds.) Academic Press (1980) 327-336. MR 82g:54053