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Algebra and Discrete Mathematics, 2019, Volume 27, Issue 1, Pages 58–69 (Mi adm692)  
RESEARCH ARTICLE

Conjugacy in finite state wreath powers of finite permutation groups

Andriy Oliynyka, Andriy Russyevb

a Taras Shevchenko National University of Kyiv, Volodymyrska 60, Kyiv, Ukraine, 01033
b Department of Mathematics, National University of Kyiv-Mohyla Academy, Skovorody St. 2, Kyiv, Ukraine, 04070
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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.
Keywords: permutation group, wreath power, automorphism of a rooted tree, conjugacy.
Received: 29.01.2019
Revised: 28.02.2019
Document Type: Article
MSC: 20E08, 20E06, 20F65
Language: English
Citation: Andriy Oliynyk, Andriy Russyev, “Conjugacy in finite state wreath powers of finite permutation groups”, Algebra Discrete Math., 27:1 (2019), 58–69
Citation in format AMSBIB
\Bibitem{OliRus19}
\by Andriy~Oliynyk, Andriy~Russyev
\paper Conjugacy in finite state wreath powers of finite permutation groups
\jour Algebra Discrete Math.
\yr 2019
\vol 27
\issue 1
\pages 58--69
\mathnet{http://mi.mathnet.ru/adm692}
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