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Volumn 104, Issue 1, 2004, Pages 71-96

Solvable subgroups of Out(Fn) are virtually Abelian

Author keywords

Free group; Outer automorphism; Relative train track; Solvable

Indexed keywords


EID: 4043151437     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:GEOM.0000022864.30278.34     Document Type: Article
Times cited : (37)

References (12)
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  • 4
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    • Train tracks and automorphisms of free groups
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    • (1992) Ann. of Math. , vol.135 , pp. 1-51
    • Bestvina, M.1    Handel, M.2
  • 5
    • 0009043227 scopus 로고
    • Linear-central filtrations on groups, the mathematical legacy of Wilhelm Magnus: Groups, geometry and special functions
    • W. Abikoff, J. Birman, and K. Kuiken (eds), Amer. Math. Soc., Providence
    • [B94] Bass, H. and Lubotzky, A.: Linear-central filtrations on groups, The mathematical legacy of Wilhelm Magnus: groups, geometry and special functions, In: W. Abikoff, J. Birman, and K. Kuiken (eds), Contemp. Math. 169, Amer. Math. Soc., Providence, 1994, pp. 45-98.
    • (1994) Contemp. Math. 169 , pp. 45-98
    • Bass, H.1    Lubotzky, A.2
  • 6
    • 84972562943 scopus 로고
    • Abelian and solvable subgroups of the mapping class group
    • [BLM83] Birman, J. S., Lubotzky, A. and McCarthy, J.: Abelian and solvable subgroups of the mapping class group, 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
  • 8
    • 38249035467 scopus 로고
    • Automorphisms of free groups have finitely generated fixed point sets
    • [Coo87] Cooper, D.: 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
  • 9
    • 34250125329 scopus 로고
    • Moduli of graphs and automorphisms of free groups
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    • (1986) Invent. Math. , vol.84 , pp. 91-119
    • Culler, M.1    Vogtmann, K.2
  • 10
    • 0000260436 scopus 로고
    • Group completions and limit sets of Kleinian groups
    • [F80] Floyd, W. J.: Group completions and limit sets of Kleinian groups, Invent. Math. 57 (1980), 205-218.
    • (1980) Invent. Math. , vol.57 , pp. 205-218
    • Floyd, W.J.1
  • 11
    • 0034363923 scopus 로고    scopus 로고
    • Periodic ends, growth rates, Hölder dynamics for automorphisms of free groups
    • [LL00] Levitt, G. and Lustig, M.: Periodic ends, growth rates, Hölder dynamics for automorphisms of free groups, Comment. Math. Helv. 75 (2000), 415-429.
    • (2000) Comment. Math. Helv. , vol.75 , pp. 415-429
    • Levitt, G.1    Lustig, M.2
  • 12
    • 0002398102 scopus 로고
    • New proofs of some results of Nielsen
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    • (1985) Adv. Math. , vol.56 , pp. 173-191
    • Handel, M.1    Thurston, W.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.