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Dynamics of finite groups acting on the boundary of homogenous rooted tree

Criterion of embedding of finite groups into the automorphism groups of a homogenous rooted tree of a spherical index n is formulated. The sets of natural numbers which are the lengths of all orbits of finite groups acting on the boundary of tree are described.

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Bibliographic Details
Main Author: Szaszkowski, Z.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2003
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/155718
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