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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Bibliographic Details
Date:2018
Main Authors: Gupta, C. K., Gupta, N. D., Oliynyk, A. S.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/845
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics