Geodesic
Conjugacy in finite state wreath powers of finite permutation groups
Algebra and discrete mathematics, Tome 27 (2019) no. 1, pp. 58-69.

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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.
Keywords: wreath power, automorphism of a rooted tree
Mots-clés : permutation group, conjugacy. 
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Andriy Oliynyk; Andriy Russyev. Conjugacy in finite state wreath powers of finite permutation groups. Algebra and discrete mathematics, Tome 27 (2019) no. 1, pp. 58-69. http://geodesic.mathdoc.fr/item/ADM_2019_27_1_a6/

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