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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, Zbigniew
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/974
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