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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| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/974 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-9742018-05-14T07:18:11Z Dynamics of finite groups acting on the boundary of homogenous rooted tree Szaszkowski, Zbigniew automorphisms of trees, homogenous rooted trees, finite groups acting on a tree 20B25, 20F32, 05C05 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. Lugansk National Taras Shevchenko University 2018-05-14 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/974 Algebra and Discrete Mathematics; Vol 2, No 4 (2003) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/974/503 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-05-14T07:18:11Z |
| collection |
OJS |
| language |
English |
| topic |
automorphisms of trees homogenous rooted trees finite groups acting on a tree 20B25 20F32 05C05 |
| spellingShingle |
automorphisms of trees homogenous rooted trees finite groups acting on a tree 20B25 20F32 05C05 Szaszkowski, Zbigniew Dynamics of finite groups acting on the boundary of homogenous rooted tree |
| topic_facet |
automorphisms of trees homogenous rooted trees finite groups acting on a tree 20B25 20F32 05C05 |
| format |
Article |
| author |
Szaszkowski, Zbigniew |
| author_facet |
Szaszkowski, Zbigniew |
| author_sort |
Szaszkowski, Zbigniew |
| title |
Dynamics of finite groups acting on the boundary of homogenous rooted tree |
| title_short |
Dynamics of finite groups acting on the boundary of homogenous rooted tree |
| title_full |
Dynamics of finite groups acting on the boundary of homogenous rooted tree |
| title_fullStr |
Dynamics of finite groups acting on the boundary of homogenous rooted tree |
| title_full_unstemmed |
Dynamics of finite groups acting on the boundary of homogenous rooted tree |
| title_sort |
dynamics of finite groups acting on the boundary of homogenous rooted tree |
| description |
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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/974 |
| work_keys_str_mv |
AT szaszkowskizbigniew dynamicsoffinitegroupsactingontheboundaryofhomogenousrootedtree |
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2025-07-17T10:30:45Z |
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2025-07-17T10:30:45Z |
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1837889836385566720 |