Нормальные автоморфизмы свободных разрешимых про--групп.
Н.С. Романовский, N. S. Romanovskij, N. S. Romanovskij, N. S. Romanovskij (1997)
Algebra i Logika
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Н.С. Романовский, N. S. Romanovskij, N. S. Romanovskij, N. S. Romanovskij (1997)
Algebra i Logika
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Ч.К. Гупта, Н.С. Романовский, Č. K. Gupta, N. S. Romanovskij, Č. K. Gupta, N. S. Romanovskij, Č. K. Gupta, N. S. Romanovskij (1996)
Algebra i Logika
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Е.И. Хухро (2000)
Algebra i Logika
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Н.Ю. Макаренко (1993)
Algebra i Logika
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O.B. Богопольский (1989)
Algebra i Logika
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Е.И. Хухро, П.В. Шумяцкий, E. I. Chuchro, P. V. Šumjackij, E. I. Huhro, P. V. Šumǎckij, E. I. Chuchro, P. V. Šumjackij (1995)
Algebra i Logika
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В.М. Левчук (1990)
Algebra i Logika
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François Gautero (2007)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We give a characterization of the geometric automorphisms in a certain class of (not necessarily irreducible) free group automorphisms. When the automorphism is geometric, then it is induced by a pseudo-Anosov homeomorphism without interior singularities. An outer free group automorphism is given by a -cocycle of a -complex (a standard dynamical branched surface, see [7] and [9]) the fundamental group of which is the mapping-torus group of the automorphism. A combinatorial construction...
А.Г. Мясников (1981)
Algebra i Logika
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М.В. Нещадим, M. V. Neščadim, M. V. Neŝadim, M. V. Neščadim (1996)
Algebra i Logika
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A.P. Чехлов (2001)
Algebra i Logika
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Vesselin Drensky, Jie-Tai Yu (2007)
Journal of the European Mathematical Society
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Recently Umirbaev has proved the long-standing Anick conjecture, that is, there exist wild automorphisms of the free associative algebra over a field of characteristic 0. In particular, the well-known Anick automorphism is wild. In this article we obtain a stronger result (the Strong Anick Conjecture that implies the Anick Conjecture). Namely, we prove that there exist wild coordinates of . In particular, the two nontrivial coordinates in the Anick automorphism are both wild. We...
Ashot S. Pahlevanyan (2011)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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We prove that the Fibonacci morphism is an automorphism of infinite order of free Burnside groups for all odd and even .