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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| Date: | 2003 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2003
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| Series: | Algebra and Discrete Mathematics |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Dynamics of finite groups acting on the boundary of homogenous rooted tree / Z. Szaszkowski // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 4. — С. 86–91. — Бібліогр.: 5 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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. |
|---|