Conjugacy in finite state wreath powers of finite permutation groups

Andriy Oliynyk, Andriy Russyev

Abstract


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


permutation group, wreath power, automorphism of a rooted tree, conjugacy

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