Conjugacy in finite state wreath powers of finite permutation groups

• Date: 2019
• Main Authors: Oliynyk, Andriy, Russyev, Andriy
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2019
• Subjects: permutation group; wreath power; automorphism of a rooted tree; conjugacy; 20E08; 20E06; 20F65
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1327
• Journal Title: Algebra and Discrete Mathematics

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.