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Algebra and Discrete Mathematics, 2003, Issue 4, Pages 86–91 (Mi adm394)  
This article is cited in 1 scientific paper (total in 1 paper)

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
Full-text PDF (188 kB) Citations (1)
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.
Bibliographic databases:
Document Type: Article
MSC: 20B25, 20F32, 05C05
Language: English
Citation: Zbigniew Szaszkowski, “Dynamics of finite groups acting on the boundary of homogenous rooted tree”, Algebra Discrete Math., 2003, no. 4, 86–91
Citation in format AMSBIB
\Bibitem{Sza03}
\by Zbigniew~Szaszkowski
\paper Dynamics of finite groups acting on the boundary of homogenous rooted tree
\jour Algebra Discrete Math.
\yr 2003
\issue 4
\pages 86--91
\mathnet{http://mi.mathnet.ru/adm394}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2070404}
\zmath{https://zbmath.org/?q=an:1068.20029}
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  • https://www.mathnet.ru/eng/adm/y2003/i4/p86
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