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THE n-ARY ADDING MACHINE AND SOLVABLE GROUPS
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نویسنده
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نجاتی صدقی سعید ,داسیلوا روچا جوسیمار
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منبع
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international journal of group theory - 2013 - دوره : 2 - شماره : 4 - صفحه:43 -88
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چکیده
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We describe under various conditions abelian subgroups of the automorphism group aut(tn)of the regular n-ary tree tn, which are normalized by the n-ary adding machine = (e; : : : ; e; ) where is the n-cycle (0; 1; : : : ; n ?? 1). as an application, for n = p a prime number, and for n = 4, weprove that every soluble subgroup of aut(tn), containing is an extension of a torsion-free metabeliangroup by a finite group.
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کلیدواژه
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Adding machine ,Tree automorphisms ,Automata ,Solvable Groups.
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آدرس
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Universidade de Braslia, Department of Mathematics, Universidade de Braslia, 70910-900, Braslia-DF, Brazil, Brazil, Universidade Tecnologica Federal do Parana, Coordination of Mathematics (COMAT), Universidade Tecnologica Federal do Parana, 86300-000, Cornelio ProcopioPR, Brazil, Brazil
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پست الکترونیکی
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jsrocha74@gmail.com
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Authors
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