A group automorphism is a factor of a direct product of a zero entropy automorphism and a Bernoulli automorphism
Nobuo Aoki (1981)
Fundamenta Mathematicae
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Displaying similar documents to “The relationship between algebraic numbers and expansiveness of automorphisms on compact abelian groups”
A group automorphism is a factor of a direct product of a zero entropy automorphism and a Bernoulli automorphism
Abelian torsion groups with artinian primary components and their automorphisms
Jutta Hausen (1971)
Fundamenta Mathematicae
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On outer automorphisms of Černikov -groups
Orazio Puglisi (1990)
Rendiconti del Seminario Matematico della Università di Padova
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On a generalization of Mycielski's and Znám's conjectures about coset decomposition of Abelian groups
Ivan Korec (1974)
Fundamenta Mathematicae
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Derek J. S. Robinson, James Wiegold (1984)
Rendiconti del Seminario Matematico della Università di Padova
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Federico Menegazzo, Derek J. S. Robinson (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Automorphisms fixing every Normal Subgroup of a Nilpotent-by-abelian Group
Gérard Endimioni (2008)
Rendiconti del Seminario Matematico della Università di Padova
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Simultaneous automorphisms on the space of analytic functions of several complex variables
Gupta, Manjul (1989)
Portugaliae mathematica
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Automorphisms with finite exact uniform rank
Mieczysław Mentzen (1991)
Studia Mathematica
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The notion of exact uniform rank, EUR, of an automorphism of a probability Lebesgue space is defined. It is shown that each ergodic automorphism with finite EUR is finite extension of some automorphism with rational discrete spectrum. Moreover, for automorphisms with finite EUR, the upper bounds of EUR of their factors and ergodic iterations are computed.
On the multiplicity function of ergodic group extensions of rotations
G. Goodson, J. Kwiatkowski, M. Lemańczyk, P. Liardet (1992)
Studia Mathematica
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For an arbitrary set A ⊆ ℕ satisfying 1 ∈ A and lcm(m₁,m₂) ∈ A whenever m₁,m₂ ∈ A, an ergodic abelian group extension of a rotation for which the range of the multiplicity function equals A is constructed.