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. Counterexamples for nonperiodic elements are given.
Description:
Oliynyk A. Conjugacy in finite state wreath powers of finite permutation groups / A.Oliynyk , A. Russyev // Algebra and Discrete Mathematics. - 2019. - Vol. 27. - Number 1. - Рp. 58-69