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RESEARCH ARTICLE

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

Zbigniew Szaszkowski

Institute of Mathematics, Silesian University of Technology, ul. Kaszubska 23, 44–100 Gliwice, Poland

Abstract: 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.

Keywords: automorphisms of trees, homogenous rooted trees, finite groups acting on a tree.

MSC: 20B25, 20F32, 05C05

Language: English

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