Proper automorphisms of universal algebras.
Pinus, A.G. (2004)
Sibirskij Matematicheskij Zhurnal
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Pinus, A.G. (2004)
Sibirskij Matematicheskij Zhurnal
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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...
Fuhrken, G. (1973)
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Federico Menegazzo (1993)
Rendiconti del Seminario Matematico della Università di Padova
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Richard Byrd, Justin Lloyd, Franklin Pederson, James Stepp (1984)
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Marshall M. Cohen (1989)
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Spodzieja, Stanisław (2007)
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Marek Karaś (2011)
Bulletin of the Polish Academy of Sciences. Mathematics
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Let d₃ ≥ p₂ > p₁ ≥ 3 be integers such that p₁,p₂ are prime numbers. We show that the sequence (p₁,p₂,d₃) is the multidegree of some tame automorphism of ℂ³ if and only if d₃ ∈ p₁ℕ + p₂ℕ, i.e. if and only if d₃ is a linear combination of p₁ and p₂ with coefficients in ℕ.
Andrzej Mostowski (1962)
Fundamenta Mathematicae
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Hertweck, M. (2002)
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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). ...
Morozov, A.S. (2003)
Sibirskij Matematicheskij Zhurnal
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