Finite automaton actions of free products of groups
It is shown that for groups \(G\) and \(H\) that act faithfully by finite state automorphisms on regular rooted trees their free product \(G*H\) admits a faithful action by finite state automorphisms on some regular rooted tree.
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| Дата: | 2017 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2017
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/477 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| Резюме: | It is shown that for groups \(G\) and \(H\) that act faithfully by finite state automorphisms on regular rooted trees their free product \(G*H\) admits a faithful action by finite state automorphisms on some regular rooted tree. |
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