Посилання: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.