Mapping tori of endomorphisms of free groups

Communications in Algebra

Volumn 28, Issue 6, 2000, Pages 2895-2917

  Kapovich, Ilya ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034340780     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1080/00927870008826999     Document Type: Article

References (35)

1. J. Alonso, T. Brady, D. Cooper, V. Ferlini, M. Lustig, M. Mihalik, M. Shapiro and H. Short, Notes on hyperbolic groups, in "Group theory from a geometric viewpoint", Proc. ICTP. Trieste, World Scientific, Singapore, 1991, 3-63
2. G. Baumslag, Finitely generated cyclic extensions of free groups are residually finite, Bull. Austral. Math. Soc. 5 (1971), 87-94
3. P. Brinkmann, Hyperbolic automorphisms of free groups, University of Utah, preprint
4. M. Bestvina and M. Feighn, The combination theorem for negatively curved groups, J. Diff. Geom. 35 (1992), 85-101
5. M. Bridson and S. Gersten, The optimal isoperimetric inequality for torus bundles over the circle, Quart. J. Math. Oxford Ser. (2) 47 (1996), no. 185, 1-23
6. G. Baumslag, S. Gersten, M. Shapiro and H. Short, Automatic groups and amalgams, J. Pure and Appl. Algebra 76 (1991), no. 3, 229-316
7. M. Bestvina and M. Handel, Train tracks and automorphisms of free groups, Ann. Math. 135 (1992), 1-51
8. J. Birget, E. Rips and M. Sapir, Isoperimetric and isodiametric functions of groups, Vanderbilt University, preprint, 1997
9. M. Culler and K. Vogtmann, Moduli of graphs and automorphisms of free groups, Invent. Math. 84 (1986), 91-119
10. W. Dicks and E. Ventura, The Group Fixed by a Family of Injective Endomorphisms of a Free Group, Contemporary Mathematics, 195, Amer. Math. Soc., 1996
11. M. Feighn and M. Handel, Mapping tori of free group automorphisms are coherent, to appear in Ann. Math.
12. B. Farb and L. Mosher, A rigidity theorem for the solvable Baumslag-Solitar groups. With an appendix by Daryl Cooper, Invent. Math. 131 (1998), no. 2, 419-451.
13. S. M. Gersten, Intersections of finitely generated subgroups of free groups and resolutions of graphs, Invent. Math. 71 (1983), no. 3, 567-591
14. S. M. Gersten, On fixed points of certain automorphisms of free groups, Proc. London Math. Soc. (3) 48 (1984), no. 1, 72-90
15. S. M. Gersten, Fixed points of automorphisms of free groups, Adv. in Math. 64 (1987), no. 1, 51-85
16. S. M. Gersten, Problems in Automatic Groups, Algorithms and Classification in Combinatorial Group Theory (G. Baumslag and C. F. Miller editors), MSRI Publications, vol. 23, Springer-Verlag, 1992, 225-232
17. M. Gromov, Hyperbolic Groups, in "Essays in Group Theory" (G.M. Gersten, editor), MSRI publ. 8, 1987, 75-263
18. E. Ghys and P. de la Harpe (editors), Sur les groupes hyperboliques d'aprés Mikhael Gromov, Birkhäuser, Progress in Mathematics, vol. 83, 1990.
19. R. Geoghegan, M. Mihalik, M. Sapir and D. Wise, Ascending HNN extensions of finitely generated free groups are Hopfian, preprint, 1999
20. R. Goldstein and E. Turner, Automorphisms of free groups and their fixed points, Invent. Math. 78 (1984), no. 1, 1-12
21. R. Goldstein and E. Turner, Fixed subgroups of homomorphisms of free groups, Bull. London Math. Soc. 18 (1986), 468-470
22. I. Kapovich, One-relator groups and the Howson property, Comm. Algebra 27, no. 3, 1999, 1057-1072
23. I. Kapovich, A non-quasiconvexity embedding theorem for word-hyperbolic groups, to appear in Math. Proc. Cambridge Phil. Soc.
24. I. Kapovich and H. Short, Greenberg's theorem for quasiconvex subgroups of word-hyperbolic groups, Canad. J. Math, 48, no. 6, 1996, 1224-1244
25. I. Kapovich and R. Weidmann, Two-generated groups acting on trees, to appear in Arch. Mathematik (Basel)
26. M. Lustig, Automorphismen von freien Gruppen, Habilitationsschrift, Bochum, 1992
27. M. Mitra, Ending laminations for hyperbolic group extensions, Geom. Funct. Anal. 7 (1997), no. 2, 379-402
28. M. Mitra, Cannon-Thurston maps for trees of hyperbolic metric spaces, J. Differential Geom. 48 (1998), no. 1, 135-164
29. P. Papasoglu, An algorithm detecting hyperbolicity, in "Geometric and computational perspectives on infinite groups (Minneapolis, MN and New Brunswick, NJ, 1994)", 193-200, DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 25, Amer. Math. Soc., Providence, RI, 1996
30. Z. Sela, The Nielsen-Thurston classification and automorphisms of the free group, I, Duke Math. J. 84 (1996), no. 2, 379-397
31. J. P. Serre, Trees, Springer-Verlag, New York, 1980
32. H. Short, Quasiconvexity and a Theorem of Howson's, in "Group theory from a geometric viewpoint", Proc. ICTP. Trieste, World Scientific, Singapore, 1991
33. J. Stallings, Topology affinite graphs, Invent. Math. 71 (1983), no. 3, 551-565
34. J. Stallings, Graphical theory of automorphisms of free groups, in "Combinatorial group theory and topology (Alta, Utah, 1984)", 79-105, Ann. of Math. Stud., 111, Princeton Univ. Press, Princeton, N.J., 1987
35. D. Wise, A residually finite version of Rips' construction, Cornell University, preprint, 1999