Conjugacy in finite state wreath powers of finite permutation groups

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Date
2019
Authors
Oliynyk, Andriy
Russyev, Andriy
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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.
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Keywords
conjugacy, finite permutation group, non-periodic elements, article
Citation
Oliynyk A. Conjugacy in finite state wreath powers of finite permutation groups [electronic resource] / Oliynyk A., Russyev A. // Algebra and Discrete Mathematics. - 2019. - Vol. 27, Issue 1. - P. 58-69.