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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| Datum: | 2018 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
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| Schlagworte: | |
| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/974 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| Zusammenfassung: | 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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