Geodesic
Dynamics of finite groups acting on the boundary of homogenous rooted tree
Algebra and discrete mathematics, no. 4 (2003), pp. 86-91

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{ADM_2003_4_a7,
     author = {Zbigniew Szaszkowski},
     title = {Dynamics of finite groups acting on the boundary of homogenous rooted tree},
     journal = {Algebra and discrete mathematics},
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     publisher = {mathdoc},
     number = {4},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2003_4_a7/}
}
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Zbigniew Szaszkowski. Dynamics of finite groups acting on the boundary of homogenous rooted tree. Algebra and discrete mathematics, no. 4 (2003), pp. 86-91. http://geodesic.mathdoc.fr/item/ADM_2003_4_a7/