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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
Date:	2018
Main Author:	Szaszkowski, Zbigniew
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2018
Subjects:	automorphisms of trees homogenous rooted trees finite groups acting on a tree 20B25 20F32 05C05
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/974
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Journal Title:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

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