Conjugacy in finite state wreath powers of finite permutation groups

• Datum: 2019
• Hauptverfasser: Oliynyk, Andriy, Russyev, Andriy
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2019
• Schlagworte: permutation group; wreath power; automorphism of a rooted tree; conjugacy; 20E08; 20E06; 20F65
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1327
• Назва журналу: 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.