Title of article :
THE n-ARY ADDING MACHINE AND SOLVABLE GROUPS
Author/Authors :
نجاتي صدقي، سعيد نويسنده Department of Mathematics, Universidade de Braslia, 70910-900, Braslia-DF, Brazil Najati Sidki, Said , داسيلوا روچا، جوسيمار نويسنده Coordination of Mathematics (COMAT), Universidade Tecnologica Federal do Parana, 86300-000, Cornelio ProcopioPR, Brazil da Silva Rocha, Josimar
Issue Information :
فصلنامه با شماره پیاپی 0 سال 2013
Abstract :
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, we
prove that every soluble subgroup of Aut(Tn), containing is an extension of a torsion-free metabelian
group by a finite group.
Journal title :
International Journal of Group Theory
Journal title :
International Journal of Group Theory
