RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Algebra Discrete Math.: Year: Volume: Issue: Page: Find

 Algebra Discrete Math., 2003, Issue 4, Pages 86–91 (Mi adm394)

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.

Full text: PDF file (188 kB)

Bibliographic databases:
MSC: 20B25, 20F32, 05C05
Language:

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://www.ams.org/mathscinet-getitem?mr=2070404} \zmath{https://zbmath.org/?q=an:1068.20029}