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Volumn 151, Issue 2, 2000, Pages 517-623

The Tits alternative for Out(Fn) I: Dynamics of exponentially-growing automorphisms

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EID: 0034422312     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.2307/121043     Document Type: Article
Times cited : (188)

References (32)
  • 3
    • 0031285883 scopus 로고    scopus 로고
    • Laminations, trees, and irreducible automorphisms of free groups
    • Erratum to
    • _, Erratum to: Laminations, trees, and irreducible automorphisms of free groups, Geom. Funct. Anal. 7 (1997), 1143.
    • (1997) Geom. Funct. Anal. , vol.7 , pp. 1143
  • 4
    • 0031285883 scopus 로고    scopus 로고
    • Laminations, trees, and irreducible automorphisms of free groups
    • _, Laminations, trees, and irreducible automorphisms of free groups, Geom. Funct. Anal. 7 (1997), 215-244.
    • (1997) Geom. Funct. Anal. , vol.7 , pp. 215-244
  • 5
    • 0002400793 scopus 로고
    • Train tracks and automorphisms of free groups
    • M. BESTVINA and M. HANDEL, Train tracks and automorphisms of free groups, Ann. of Math. 135 (1992), 1-51.
    • (1992) Ann. of Math. , vol.135 , pp. 1-51
    • Bestvina, M.1    Handel, M.2
  • 6
    • 0001354876 scopus 로고
    • Train tracks for surface homeomorphisms
    • _, Train tracks for surface homeomorphisms, Topology 32 (1995), 109-140.
    • (1995) Topology , vol.32 , pp. 109-140
  • 8
    • 84972562943 scopus 로고
    • Abelian and solvable subgroups of the mapping class groups
    • J. S. BIRMAN, A. LUBOTZKY, and J. MCCARTHY, Abelian and solvable subgroups of the mapping class groups, Duke Math. J. 50 (1983), 1107-1120.
    • (1983) Duke Math. J. , vol.50 , pp. 1107-1120
    • Birman, J.S.1    Lubotzky, A.2    McCarthy, J.3
  • 9
    • 0034552998 scopus 로고    scopus 로고
    • Hyperbolic automorphisms of free groups
    • to appear
    • P. BRINKMAN, Hyperbolic automorphisms of free groups, Geom. Funct. Anal., to appear.
    • Geom. Funct. Anal.
    • Brinkman, P.1
  • 11
    • 38249035467 scopus 로고
    • Automorphisms of free groups have finitely generated fixed point sets
    • D. COOPER, Automorphisms of free groups have finitely generated fixed point sets, J. Algebra 111 (1987), 453-456.
    • (1987) J. Algebra , vol.111 , pp. 453-456
    • Cooper, D.1
  • 12
    • 34250125329 scopus 로고
    • Moduli of graphs and automorphisms of free groups
    • M. CULLER and K. VOGTMANN, Moduli of graphs and automorphisms of free groups, Invent. Math. 84 (1986), 91-119.
    • (1986) Invent. Math. , vol.84 , pp. 91-119
    • Culler, M.1    Vogtmann, K.2
  • 13
    • 0001694420 scopus 로고
    • Periodic automorphisms of free groups
    • J. L. DYER and G. P. SCOTT, Periodic automorphisms of free groups, Comm. Algebra 3 (1975), 195-201.
    • (1975) Comm. Algebra , vol.3 , pp. 195-201
    • Dyer, J.L.1    Scott, G.P.2
  • 14
    • 0000260436 scopus 로고
    • Group completions and limit sets of Kleinian groups
    • W. FLOYD, Group completions and limit sets of Kleinian groups, Invent. Math. 57 (1980), 205-218.
    • (1980) Invent. Math. , vol.57 , pp. 205-218
    • Floyd, W.1
  • 16
    • 0001543830 scopus 로고
    • The automorphism group of a free group is not linear
    • E. FORMANEK and C. PROCESI, The automorphism group of a free group is not linear, J. Algebra 149 (1992), 494-499.
    • (1992) J. Algebra , vol.149 , pp. 494-499
    • Formanek, E.1    Procesi, C.2
  • 17
    • 84968500686 scopus 로고
    • Coset representatives in free groups
    • M. HALL, Coset representatives in free groups, Trans. A.M.S. 67 (1949), 421-432.
    • (1949) Trans. A.M.S. , vol.67 , pp. 421-432
    • Hall, M.1
  • 18
    • 0039835980 scopus 로고
    • 3-manifolds
    • Princeton Univ. Press, Princeton, NJ
    • J. HEMPEL, 3-manifolds, Ann. of Math. Studies, No. 86, Princeton Univ. Press, Princeton, NJ, 1988.
    • (1988) Ann. of Math. Studies , Issue.86
    • Hempel, J.1
  • 19
    • 0002398102 scopus 로고
    • New proofs of some results of Nielsen
    • M. HANDEL and W. THURSTON, New proofs of some results of Nielsen, Adv. in Math. 56 (1989), 173-191.
    • (1989) Adv. in Math. , vol.56 , pp. 173-191
    • Handel, M.1    Thurston, W.2
  • 20
    • 0000968788 scopus 로고
    • Algebraic properties of the teichmüller modular group
    • M. IVANOV, Algebraic properties of the Teichmüller modular group, Dokl. Akad. Nauk SSSR 275 (1984), 786-789.
    • (1984) Dokl. Akad. Nauk SSSR , vol.275 , pp. 786-789
    • Ivanov, M.1
  • 24
    • 84967782927 scopus 로고
    • A "Tits Alternative" for subgroups of surface mapping class groups
    • J. MCCARTHY, A "Tits Alternative" for subgroups of surface mapping class groups, Trans. A.M.S. 291 (1985), 583-612.
    • (1985) Trans. A.M.S. , vol.291 , pp. 583-612
    • McCarthy, J.1
  • 25
    • 84959755345 scopus 로고
    • Subgroups of surface groups are almost geometric
    • P. SCOTT, Subgroups of surface groups are almost geometric, J. London Math. Soc. 17 (1978), 555-565.
    • (1978) J. London Math. Soc. , vol.17 , pp. 555-565
    • Scott, P.1
  • 26
    • 84959806214 scopus 로고
    • Subgroups of surface groups are almost geometric
    • Correction to
    • _, Correction to: Subgroups of surface groups are almost geometric, J. London Math. Soc. 32 (1985), 217-220.
    • (1985) J. London Math. Soc. , vol.32 , pp. 217-220
  • 28
    • 0000980586 scopus 로고
    • Topology of finite graphs
    • J. STALLINGS, Topology of finite graphs, Invent. Math. 71 (1983), 551-565.
    • (1983) Invent. Math. , vol.71 , pp. 551-565
    • Stallings, J.1
  • 29
    • 0000354326 scopus 로고    scopus 로고
    • Topological methods in group theory
    • G. P. SCOTT and C. T. C. WALL, Topological methods in group theory, in Homological Group Theory, 137-203, London Math. Society Lecture Notes 36 (1979).
    • Homological Group Theory , pp. 137-203
    • Scott, G.P.1    Wall, C.T.C.2
  • 30
    • 0039244188 scopus 로고
    • G. P. SCOTT and C. T. C. WALL, Topological methods in group theory, in Homological Group Theory, 137-203, London Math. Society Lecture Notes 36 (1979).
    • (1979) London Math. Society Lecture Notes , vol.36
  • 31
    • 84968476184 scopus 로고
    • On the geometry and dynamics of diffeomorphisms of surfaces
    • W. THURSTON, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. A.M.S. 19 (1988), 417-431.
    • (1988) Bull. A.M.S. , vol.19 , pp. 417-431
    • Thurston, W.1
  • 32
    • 0000644892 scopus 로고
    • Free subgroups in linear groups
    • J. TITS, Free subgroups in linear groups, J. Algebra 20 (1972), 250-270.
    • (1972) J. Algebra , vol.20 , pp. 250-270
    • Tits, J.1


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