Partial orders, closed relations and their automorphisms.
D.W. Hardy, M. Thornton (1981)
Semigroup forum
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D.W. Hardy, M. Thornton (1981)
Semigroup forum
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W. Ruppert (1984)
Semigroup forum
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M. Petrich (1974)
Semigroup forum
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S.A. Huq (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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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.
Stéphane Tufféry (1996)
Forum mathematicum
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Fleury, Odile (1997)
Beiträge zur Algebra und Geometrie
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B.M. Schein (1985)
Semigroup forum
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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.
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...
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...
A. Zajtz (1972)
Colloquium Mathematicae
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Jérémie Rostand (2003)
Studia Mathematica
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Let Ω be the spectral unit ball of Mₙ(ℂ), that is, the set of n × n matrices with spectral radius less than 1. We are interested in classifying the automorphisms of Ω. We know that it is enough to consider the normalized automorphisms of Ω, that is, the automorphisms F satisfying F(0) = 0 and F'(0) = I, where I is the identity map on Mₙ(ℂ). The known normalized automorphisms are conjugations. Is every normalized automorphism a conjugation? We show that locally, in a neighborhood of a...
F. S. Cater, A. B. Thaheem (1996)
Rendiconti del Seminario Matematico della Università di Padova
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