Conjugacy in finite state wreath powers of finite permutation groups

It is proved that conjugated periodic elements of the infinite wreath power of a finite permutation group are conjugated in the finite state wreath power of this group. Counter-examples for non-periodic elements are given.

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Bibliographic Details
Date:2019
Main Authors: Oliynyk, Andriy, Russyev, Andriy
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2019
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1327
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Journal Title:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics