An approach to automorphisms of free groups and braids via transvections.
Stephen P. Humphries (1992)
Mathematische Zeitschrift
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Stephen P. Humphries (1992)
Mathematische Zeitschrift
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Bruno Zimmermann, Shicheng Wang (1994)
Mathematische Zeitschrift
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Klaus Schmidt, Tom Ward (1993)
Inventiones mathematicae
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Harold N. Ward (1969)
Mathematische Zeitschrift
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Marshall M. Cohen (1989)
Inventiones mathematicae
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A. Zajtz (1972)
Colloquium Mathematicae
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Hidalgo, Rubén A. (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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K. Vogtmann, M. Culler (1986)
Inventiones mathematicae
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Cohn, P. (2002)
Serdica Mathematical Journal
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The theorem of Czerniakiewicz and Makar-Limanov, that all the automorphisms of a free algebra of rank two are tame is proved here by showing that the group of these automorphisms is the free product of two groups (amalgamating their intersection), the group of all affine automorphisms and the group of all triangular automorphisms. The method consists in finding a bipolar structure. As a consequence every finite subgroup of automorphisms (in characteristic zero) is shown to be conjugate...
Giovanni Cutolo (2006)
Rendiconti del Seminario Matematico della Università di Padova
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P. A. Zalesskii (1999)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Mladen Bestvina (2011)
Fundamenta Mathematicae
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Using Lipschitz distance on Outer space we give another proof of the train track theorem.