On automorphisms of relatively free groups
Andrzej Mostowski (1962)
Fundamenta Mathematicae
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Andrzej Mostowski (1962)
Fundamenta Mathematicae
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Roman'kov, V.A., Chirkov, I.V., Shevelin, M.A. (2004)
Sibirskij Matematicheskij Zhurnal
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Marshall M. Cohen (1989)
Inventiones mathematicae
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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.
Stephen P. Humphries (1992)
Mathematische Zeitschrift
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Giovanni Cutolo (1992)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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A characterization of central automorphisms of groups is given. As an application, we obtain a new proof of the centrality of power automorphisms.
Fιndιk, Şehmus (2010)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 17B01, 17B30, 17B40. Let Lm,c be the free m-generated metabelian nilpotent of class c Lie algebra over a field of characteristic 0. An automorphism φ of Lm,c is called normal if φ(I) = I for every ideal I of the algebra Lm,c. Such automorphisms form a normal subgroup N(Lm,c) of Aut (Lm,c) containing the group of inner automorphisms. We describe the group of normal automorphisms of Lm,c and the quotient group of Aut (Lm,c) modulo N(Lm,c). ...
Donald J. Collins, Zieschang Heiner (1984)
Mathematische Zeitschrift
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Richard Byrd, Justin Lloyd, Franklin Pederson, James Stepp (1984)
Fundamenta Mathematicae
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David Sherman (2009)
Studia Mathematica
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In functional analysis, approximative properties of an object become precise in its ultrapower. We discuss this idea and its consequences for automorphisms of II₁ factors. Here are some sample results: (1) an automorphism is approximately inner if and only if its ultrapower is ℵ₀-locally inner; (2) the ultrapower of an outer automorphism is always outer; (3) for unital *-homomorphisms from a separable nuclear C*-algebra into an ultrapower of a II₁ factor, equality of the induced traces...
L. Makar-Limanov (1984)
Bulletin de la Société Mathématique de France
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