Conjugacy in finite state wreath powers of finite permutation groups

• Published in: Algebra and Discrete Mathematics
• Date: 2019
• Main Authors: Oliynyk, A., Russyev, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188422
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Conjugacy in finite state wreath powers of finite permutation groups / A. Oliynyk, A. Russyev // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 58–69. — Бібліогр.: 6 назв. — англ.

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.