Automorphisms of free groups and their fixed points.
E.C. Turner, Richard S. Goldstein (1984)
Inventiones mathematicae
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E.C. Turner, Richard S. Goldstein (1984)
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Stephen P. Humphries (1992)
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Bruno Zimmermann, Shicheng Wang (1994)
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Klaus Schmidt, Tom Ward (1993)
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Hidalgo, Rubén A. (1994)
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Harold N. Ward (1969)
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A. Zajtz (1972)
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Giovanni Cutolo (2006)
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Marshall M. Cohen (1989)
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S. Shalchi, A. Erfanian, M. Farrokhi DG (2017)
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The θ-commutators of elements of a group with respect to an automorphism are introduced and their properties are investigated. Also, corresponding to θ-commutators, we define the θ-non-commuting graphs of groups and study their correlations with other notions. Furthermore, we study independent sets in θ-non-commuting graphs, which enable us to evaluate the chromatic number of such graphs.
Mladen Bestvina (2011)
Fundamenta Mathematicae
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Using Lipschitz distance on Outer space we give another proof of the train track theorem.
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...
P. A. Zalesskii (1999)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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