Free products of finite groups acting on regular rooted trees
Let finite number of finite groups be given. Let \(n\) be the largest order of their composition factors. We prove explicitly that the group of finite state automorphisms of rooted \(n\)-tree contains subgroups isomorphic to the free product of given groups.
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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/845 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-8452018-03-21T11:59:09Z Free products of finite groups acting on regular rooted trees Gupta, C. K. Gupta, N. D. Oliynyk, A. S. Let finite number of finite groups be given. Let \(n\) be the largest order of their composition factors. We prove explicitly that the group of finite state automorphisms of rooted \(n\)-tree contains subgroups isomorphic to the free product of given groups. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/845 Algebra and Discrete Mathematics; Vol 6, No 2 (2007) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/845/375 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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| datestamp_date |
2018-03-21T11:59:09Z |
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OJS |
| language |
English |
| topic |
|
| spellingShingle |
Gupta, C. K. Gupta, N. D. Oliynyk, A. S. Free products of finite groups acting on regular rooted trees |
| topic_facet |
|
| format |
Article |
| author |
Gupta, C. K. Gupta, N. D. Oliynyk, A. S. |
| author_facet |
Gupta, C. K. Gupta, N. D. Oliynyk, A. S. |
| author_sort |
Gupta, C. K. |
| title |
Free products of finite groups acting on regular rooted trees |
| title_short |
Free products of finite groups acting on regular rooted trees |
| title_full |
Free products of finite groups acting on regular rooted trees |
| title_fullStr |
Free products of finite groups acting on regular rooted trees |
| title_full_unstemmed |
Free products of finite groups acting on regular rooted trees |
| title_sort |
free products of finite groups acting on regular rooted trees |
| description |
Let finite number of finite groups be given. Let \(n\) be the largest order of their composition factors. We prove explicitly that the group of finite state automorphisms of rooted \(n\)-tree contains subgroups isomorphic to the free product of given groups. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/845 |
| work_keys_str_mv |
AT guptack freeproductsoffinitegroupsactingonregularrootedtrees AT guptand freeproductsoffinitegroupsactingonregularrootedtrees AT oliynykas freeproductsoffinitegroupsactingonregularrootedtrees |
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2025-07-17T10:33:00Z |
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2025-07-17T10:33:00Z |
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