Isoperimetric inequalities for automorphism groups of free groups

Pacific Journal of Mathematics

Volumn 173, Issue 2, 1996, Pages 425-441

  Hatcher, Allen ^a   Vogtmann, Karen ^a  

^a Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000883833     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.1996.173.425     Document Type: Article

References (19)

1. [A] J. Alonso, Inegalités isopérimetriques et quasi-isometries, C.R. Acad. Sci. Paris, 311(I) (1990), 761-764.
2. J. Alonso and M. Bridson, Semihyperbolic groups, Proc. London Math. Soc., 70(1) (1995), 56-114.
3. M. Bridson and K. Vogtmann, On the geometry of the group of automorphism of a free group, Bull. London Math. Soc., 27 (1995), 544-552.
4. M. Culler and K. Vogtmann, Moduli of graphs and automorphisms of free groups, Invent. Math, 84 (1986), 91-119.
5. D. Epstein, J. Cannon, D. Holt, S. Levy, M. Paterson and W. Thurston, Word Processing in Groups, London, Jones and Bartlett, (1992).
6. S.M. Gersten, The automorphism group of a free group is not a CAT(0) group, Proc. A.M.S., 121(4) (1994), 999-1002.
7. _, Isoperimetric and isodiametric functions of finite presentations, in Geometric Group Theory, ed. by G. Niblo and M. Roller, London Math Soc. Lecture Notes, Cambridge University Press, 181(2) (1993), 79-96.
8. E. Ghys, Les groupes hyperboliques, Seminaire Bourbaki, 722 (1989-90).
9. M. Gromov, Hyperbolic groups, in Essays in Group Theory, ed. by S. M. Gersten, M.S.R.I., Springer-Verlag, 8 (1987), 75-263.
10. _, Asymptotic invariants of groups, in Geometric Group Theory, ed. by G. Niblo and M. Roller, London Math Soc. Lecture Notes, Cambridge University Press, 181(2) (1993).
11. J. Harer, Stability for the homology of mapping class groups of orientable surfaces, Annals of Math., 121(2) (1985), 2215-249.
12. _, The virtual cohomological dimension of the mapping class group of an oriented surface, Invent. Math., 84 (1986), 157-176.
13. A. Hatcher, Homological stability for automorphism groups of free groups, Comment. Math. Helv., 70 (1995), 39-62.
14. _, On triangulations of surfaces, Top. and its Appl., 40 (1991), 189-194.
15. F. Laudenbach, Topologie de la dimension trois: homotopie et isotopie, Astérisque 12, Soc. Math. France (1974).
16. _, Sur les 2-spheres d'une variété de dimension 3, Annals of Math., 97 (1973), 57-81.
17. L. Mosher, Mapping class groups are automatic, Math. Res. Letters, 1(2) (1994) 249-256.
18. _, Mapping class groups are automatic, Annals of Math., 142 (1995), 303-384.
19. 2, Astérisque, 46, Soc. Math. France (1977).