Conjugacy in finite state wreath powers of finite permutation groups

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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Bibliographic Details
Date:2019
Main Authors: Oliynyk, A., Russyev, A.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2019
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/188422
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine